The attitude that he "deserves" to "go apeshit" feels kind of weird to me, because I can't see that as something Adrien would want, or something that would bring catharsis to him. He wants to be more free, yes, but he's a compassionate, sensitive person who doesn't want to hurt people. An out-of-control evil rampage wouldn't be liberating for him, it would just make him feel worse and add to the pile of psychological problems he already has. Make him feel guilty for wanting to be free. Make it feel like his father has been correct and justified in abusing and controlling him.
Do we really want Gabriel to be framed as justified in how he's been treating Adrien? Like how he makes Adrien go to his room and calls him overly dramatic/emotional for having any reasonably negative response to bad things happening?
Also actually it wouldn't just add to Adrien's pile of psychological problems, it would also severely distract from the (way more interesting and well-established) problems that have been repeatedly shown and developed since season 1, because the evil rampage would be so much more in-your-face, "loud" problem. This would be greatly narratively unsatisfying, and go against the themes of Adrien's arc. Wouldn't it be way better to focus on the problems that he already has, and which the audience is familiar with, and have spent years waiting for the narrative to build up and address?
Maybe this is a gender stereotype thing? Many of Adrien's canon core problems are kind of... feminine-coded and not very "loud"; the kinds of things that unfortunately often go unaddressed IRL, too, because the people who have these problems mostly break "inwards". Whereas going on an "apeshit" villain rampage would be a gender-conforming, masculine, flashy problem, and therefore what people would expect? Also it would align with the negative but unfortunately common stereotype of mentally ill people being violent and dangerous, when the truth is, mentally ill people are way more likely to be the target of violence and abuse, or to harm themselves. Both of which are actually issues that canon Adrien has been set up to be in danger of! It would be disappointing to have so much build-up for representing these less "loud", underrepresented issues, only to have them suddenly buried and sidelined by something way more generic and loud that better matches the pre-conceived negative stereotypes that people already have.
I feel like wanting Adrien to "go apeshit" is more like, a power-fantasy projection wish-fulfillment for some viewers, rather than a logical conclusion for Adrien's own characterization. Adrien's always been set up to try to self-destruct and let others hurt him, more likely than he is to lash out. Can we please allow that to be an Actual Problem that deserves to be addressed?
And yeah yeah everyone has a breaking point, sure, everyone can be driven to madness if they're broken enough. The same would be true for any other character (or irl person) too. A different question is, would it actually, like, serve any good narrative purpose, or feel meaningful to watch? At some point, further breaking down characters just turns the fiction into misery porn. Is it really worth derailing 4+ seasons of character build-up?
Also IMO it's way more interesting to give a character such a stereotypically evil power like the Miraculous of Destruction, and then have them not go evil. Everyone's already seen characters with evil powers go evil, nothing new there. Actually with the way it's been framed...
Like, you know, Adrien's starting point was this abused, powerless kid in a restrictive "perfect obedient son" role, in a golden cage with very little agency. He gains a limited ability to break free, somewhat, (and have a secret kwami friend for emotional support and commiseration), when he's given the Miraculous of Destruction. It's something that you'd kind of expect to be considered an "evil" power (destruction, rot, associated with bad luck, an all-black outfit with inhuman eye design with slit pupils, comes with this tiny selfish ancient god of destruction spending time with Adrien as a mentor figure with a lot of potential for questionable character development).
...and then... it's okay? It's more or less good for his mental health, actually? It doesn't make Adrien evil, it just makes him a bit less powerless. As Chat Noir, he can get away from his abusive home life. For once, he's allowed to defend himself and fight back (against his father's manipulations! Even if he doesn't know that) and doing that will not result in him being seen as the Bad Guy, or getting punished. For once, he doesn't have to just quietly accept the injustices committed by his father, and act like they aren't a problem.
As Chat Noir, Adrien can have interpersonal interactions that aren't controlled by his father – and of course he makes various social mistakes and has a flaky sense of boundaries (not like he's ever been allowed to have any), and he's new to these unscripted interactions, he turns out to be annoying and sometimes upsets people, and it takes a while to unlearn. But despite the setup, it's not, like, evil.
Even Plagg's selfishness is kind of a positive influence on Adrien; Plagg keeps pointing out when people mistreat Adrien, when Adrien by himself would have let them get away with it and made excuses and let himself be hurt (okay, he still often does that, but at least he does have a friend pointing out the mistreatment). It's a balancing act, sure, but it's not inherently only a bad thing.
Of course, for a child who has been abused the way Adrien has been, the power to gain some agency, to break free a bit, to be a person rather than be Perfect – of course it would be framed as a power that looks like it "should" be evil, or "should" make Adrien turn evil. That's how any abuser in Gabriel's situation would want their victim to view their own capacity for agency: as something dangerous and destructive that would make the victim ruin everything, if they make the mistake of pursuing it.
And that's why this normally evil-coded power isn't treated as inherently evil in this narrative, and why it doesn't actually turn Adrien evil when he does accept it. That would just mean proving the abuser right.
This symbolism also ties to Gabriel, the abusive parent, wielding the Butterfly Miraculous. It comes with a magical empathy sense to detect others' negative emotikbs and struggles. It's intended for uplifting and empowering these people by giving them superpowers to carry out tasks and needs that they'd otherwise be unable to do. But Gabriel, instead, uses it to manipulate people through despair and a false sense of warped sympathy, takes away their sense of self, and turns them into his tools. It's a metaphor for the power Gabriel wields as an abusive parent; someone who could have the power to uplift and empower, but chooses to manipulate and treat people as tools beneath him, instead.
We repeatedly see these people-turned-into-tools by Gabriel get pushed around and manipulated into "going apeshit" on evil rampages that, maybe at first glimpse may look like some kind of a catharsis factor, except... not really. They're Not Themselves, they're targets of manipulation (and literal supernatural brainwashing/possession), they don't get to remember it afterwards, they're repeatedly referred to as Hawkmoth's victims.
This is not a show that has ever framed "going apeshit" and turning into an evil rampaging villain as something liberating or empowered, or something that would make any sense for a character to "deserve" for their own good.
I, for one, would be disappointed if they change that.