I like your explanation of the bracelet, but even more important in filling in back story was this:

He’ll try and make sure that whatever case he finds for House will involve one of Wilson’s patients, so that he’s forced to interact with House.

I always thought that the lung transplant patient being Wilson's patient was a little too convenient. But spun as an object of Foreman's manipulation (alongside one reason that Wilson was capitulating) made a lot of sense.

I really liked this series you created. Well done!