I've finally come around to actually write that analysis, I promised you guys some days ago. I actually tried to read up on how to do a character analysis, for this. But decided to just go with the flow of my though so sorry if this turns out to be too rambly.
This whole analysis is also based on the impression I got from Jeremiah the first time he was presented in 4x17 "Mandatory Brunch Meeting". And that impression was that Jeremiah Valeska was (well I don't wanna use medical terms because they bore me and because they have been thrown at me too often so I'm gonna put it in layman terms) a man with paranoiac tendencies and low empathy, and he had also some kind form of obsessive/intrusive thoughts.
From this basis we can start the actual analysis (plus some congectures of the twins childhood, because that did shape them to be the men they became):
Between the twins Jeremiah was, probably, the quiet one, but not out of some sort of shyness or anything similar, but just because he didn't know how to interact with people... normally. In the sense that when he spoke up he'd probably be kind of unsettling for how cold and emotionless he appeared to be as he wasn't yet that apt in picking up social clues and read the minute instances of body language, and as such could fake any kind of emotional responce that wasn't particulary obvious, and so usually let Jerome do the talking, so that he could learn, and imitate.
So that he could become the perfect one between them. For his sake, for his need to learn how to 'fake being normal' he probably pushed and pushed Jerome as far as he could, to get any sort of reaction that he could learn from. (Jerome let him because he didn't know how harmful it was enabling that behaviour; Jerome let him because Jeremiah was his twin and he'd never hurt him.)
He, also, probably started 'manipulating' Lila very early on, as soon as he understood that he could get people to do what he wanted if he acted like they wanted him to act. (That was probably the first wedge between the brothers).
Lila wanted a little Mr. Perfect that was studious and clever, and silent and polite, so Jeremiah gave her what she wanted so to make his life easier.
And since he started so early on, he probably has problems in discern the difference between who he really is and what he is so used to show others. (Jerome is the only one who knows the difference, the only one who can see behind the facade that Jeremiah presents to the world, and has always being able too).
Of course as time passed, say the twins were nine or ten, Jeremiah felt like he needed to get out of there that that wasn't the life for him, so he used all of what he had learned. He lied and he created evidence to support his lies, even if that meant hurting himself, why? Because his goal was more important, because it was self-preservation after all.
And with that he managed to escape the circus. Went to St. Ignacious, created a new identity for himself and lived it, and because he was yet to young to lie and not being affected by it, slowly he started believing his own lies. That Jerome had tried to kill him, that he would find him and hurt him.
He also wasn't adopted probably, people don't tend to like children that are too disconcerning (and trust me I know how much people don't like people like me), but he was a genius and got to emancipate himself, started working as an engineer as soon as he was able too.
Somewhere during that time he met Ecco that basically took Jerome's place as Jeremiah's anchor, but as she wasn't Jerome, as she probably was more suscettible more malleable, he changed her instead of letting her change him. He made her what he needed: a protector, someone who'd be his voice and eyes in the outside world as he shut himself in further and further away, letting his fear turned obsession for Jerome, Jerome finding him, Jerome killing him, Jerome hurting him. (And even though he knew that was a lie, he was already too lost in his own web of lies to actually rationalize that he didn't need to do any of that.)
There was probably some period of his life, either before or after he worked for Thomas Wayne in which he felt like he didn't have control on anything, not even having Ecco at his beck and call was enough. And that was what made him create the labyrinth, his perfect home.
A place where he'd be the one with all the power, and anyone else would be just like a fly trapped in a spider's web.
Which bring us to the Jeremiah we see in "Mandatory Brunch Meeting".
That Jeremiah has long passed that period of his life in which he didn't have control. In fact he was in perfect control, he probably even made possible for Jerome to find Ecco, because if they had to actually met, he'd want that to happen by circumstances he created.
He is so sure, like a tarantula in its nest calm and quiet till bothered, that he even let the police in his maze. He doesn't fear them, he doesn't have any reason to (his only fear locked up tightly in a place where, he thought, he could never escape from), and that we can see in the scene where Jim and Harvey met him.
Jeremiah isn't allarmed, he isn't even scared when they point their guns at him, why? Because he knows that he isn't in danger, they are in his den, they are the one who are in the wrong place, they don't know how to leave the maze. If he'd so liked he could have leave them to die forever trapped, of course that's not what he wants, no, what he wants is for them to leave him alone.
So he puts up the old mask of vulnerability and tells them the old lies he told, he tells them that Jerome threatened him, that Jerome was violent, that Jerome was the broken one. He? He's always been the poor, poor victim, he's always been the one who was born right. (Is that true, no and yes. If he had had actual support? He'd probably be as normal as someone as me can be, but he didn't have support so he just... worked around that in a way that made sense to him).
Then Jim discovers his trick, he discovers that Jerome is there trapped in his maze, and Jeremiah starts desperately grasping at that control that he knows is starting to fade away. He has still enough to keep his mask up, though it’s cracked as he shows less concern for others than he knows it’s normal. He doesn’t pretend to care about what’s happened to Ecco, or to be worried about the detectives lives, he cares only about himself, his own self-preservation once again.
But then he loses control again completely; Jerome is freed, two maniacs enter in his perfect, perfect maze. He loses even Ecco, who gets hypnotized, and even though he doesn’t care about her as much as he pretends to, it does somewhat hurt to be betrayed like that. And you can see that, that lost of control from his part. You can see that in the way he confronts Jerome, scared and angry, in the way he acts at the words that Jeromes spews at him. Because Jeremiah doesn't have masks in that moment, beside the pretending to care for his mother. And that reality is that Jeremiah is afraid of the conseguences of his actions, because he knows that now Jerome is a real threat, that he beat the rabid dog that one time too much, and he is angry because he's lost control again, because of Jerome, and he doesn't know how to gain it back.
Then everything just spirals down from there. Once he has lost his foothold, he doesn't have time to regain it. Then the events of "That's Entertainment" happen, and he never actually has the chance to ever regain it.
He loses everything that's important: his control, that part of him that actually cares enough for himself to actually force him to try and act like a 'normal' person. He just stops caring, or well in reality he just stops pretending to care.
But this analysis isn't on Post-Insanity Spray!Jeremiah so I'll stop here.
Sorry if it's rambly or nonsensical but I feel a lot for him, or well not feel exactly, I just liked to see someone like myself on screen. For that little he was there as himself and not that... being he became after.
Though I guess, people will always see people as myself as monsters so... was Jeremiah's end really a surprise?... Not really.