Thomas Shey
Legend
I think, ultimately, there's a continuum here.
1) Buying fully into
2) Buying into but not really 'getting' it
3) Not buying into but playing along
4) Not buying into and, in fact, buying against
1 and 3 work just fine. 3 might not get out of it as much as 1 because they're more along for the ride even if they're not an enthusiastic partner in the premise.
2 probably needs correction if it can't be accommodated (it might represent an interesting, if slightly tangential, thing that still works).
It's 4 that's the big problem.
I think there's some additional cases. You have players that are basically interested in playing, fundamentally, the same damn character (or one as close to it as possible) game after game after game. They will tend to read a campaign premise as supporting some variation on this character unless you explicitly spell out that it doesn't. And often, even then, they'll try to get as close to it as the premise will allow, and then constantly press against that edge (not because they're deliberately trying to subvert the campaign so much as "playing this type of character is both desired and second nature" and will default back to it the moment they don't think about it.
That's not quite your #4--they aren't deliberately trying to subvert the campaign--but it still can be more than just a bit of a problem on occasion.
(I personally think #2 is the much more common one, though).