But imagine he violates the requiements and releases more information. Would that actually be a problem for him?
Putin already said that he won't send him to a country where he may be sentenced to death. So even in that case, he probably won't be sent to the US but to some other country than grants asylum to him.
I can't imagine why he would do something like that, in the open. After all he needs any friends he can get! But even if he was to break his promise of not releasing any more info, it would make more sense if he did it "under the radar". I think he is quite capable of that. Or maybe, he could do it while the Russians are looking the other way :)
Putin already said that he won't send him to a country where he may be sentenced to death. So even in that case, he probably won't be sent to the US but to some other country than grants asylum to him.