From what I could gather Wilson had a good home with Cecelia and the rest of his family but what I don't understand is why was he eager to leave? And sorry if my facts are off I'm still a little iffy with keeping up with all the stories you have. (which are awesome btw) :)
Well there are the following factors to consider.
One is Edward. Edward, from Wilson’s point of view, snapped. He became someone who was cruel and didn’t love his family at the drop of a hat and then one day just left without much notice. Wilson would soon later find out it was being committed to an asylum but he wouldn’t get the full story till later on as to why Ed went insane. Till then, Wilson was under the impression his father hated him and thought his dreams of being a scientist were stupid. While he had Percival to fill in as a father figure, Wilson wouldn’t deny he wished his real father was there and… well, loved him. Accepted him and actually cared. He wanted a chance to prove himself to his father but can’t do that when he isn’t around.
Second is the Barlows. Yeah, these guys. While the Higgsbury side of things are all nice and sweet, these guys make it abundantly clear they’re not fond of him and his mother. Wilson is the runt of the family to them, just like his mother and they have no qualms of letting him know they think that. During parties they attended out of Cecelia trying to earn money (They’d pay her to show up so they could keep their perfect image of a family to the public. All that money would go to support for Wilson.) they’d find ways to make Wilson’s life Hell. Humiliated in front of girls he would try to dance with, switching his drink out and having him pass out due to his low alcohol tolerance, saying how he would go insane just like his father, basically making him feel lower than dirt. Wilson put a lot of pressure on himself to want to prove them all wrong. Show them that he was nothing like they said he was and get them to finally shut up. Prove to them that Wilson Percival Higgsbury is one of the best scientists in the world and you should be ashamed of ever doubting him.
Third was the pressure that that hit him after Percival died. He was in grad school and the pressure was getting to him from everything else mentioned above. When Percival died, that’s when he cracked. He lost someone dear to him and was grieving and what were some of Percival’s colleagues doing after he died? Bad mouthing the man andsaying things about him that didn’t sit well with Wilson. Wilson eventually snapped at one them (humiliating them too by correcting an equation on the board) and dropped out, having had enough of it.
It was after all that Wilson left home. Reason he did that was… his own reasoning. It was nothing Cecelia did, Emmett, Percival or Melinda. Wilson reasoned he was being too much of a burden and needed to strike out on his own. That his mother shouldn’t have to deal with someone like him who was starting to become a failure. He wanted to fix it and he figured the best way to do it was on his own. Away from everyone else and not burden them with his issues.
Wilson’s biggest flaws are having a hard asking for help and admitting when he has a problem. He doesn’t want to appear weak or bother anyone with his problems. He wants to solve it all himself which sadly leads to a lot of his failings, not being able to perform as well in areas where he is actually gifted and well sent him a downward spiral that lead him into the rut he got into when Maxwell showed up. Honestly if Maxwell hadn’t showed up, things might’ve not ended so well for The Gentlemen Scientist.