I think Wilson (in canon) decided that the good parts of his friendship with House outweighed the bad parts - and really, who are we to argue?
Ah, perhaps I need to be more specific. My problem with Wilson isn't that he's choosing to renew the friendship with House. My problem is that he's what we'd call a 'fair weather' friend: he abandons House when House needs him (because both in canon and in your story Wilson, like Blythe, doesn't even try to visit House in jail), but he buckles once he gets what he needs from the friendship again. That sort of thing isn't exactly going to resolve House's trust issues.

Now that House is out of jail, he actually has other options than returning to this screwed-up friendship with Wilson ... but House chooses Wilson once again, just as he did in New Orleans. Both times House is the one who gets active, and Wilson drifts along at the best. And by just drifting along with the House-current, he avoids responsibility and encourages House to do the same. That's what I mean by Wilson not learning as much as House. House seems to have matured; Wilson has stayed static.