I try to approach the game in its own context and try to respect the intent of the GM. So my approach varies.
I do tend to gravitate toward more skirmish-like games that allow me to immerse myself in the experience of the game. It can produce a very passionate sort of role playing experience. This doesn’t really fit some games, so I scale it appropriately. I’m also good with light-hearted or even silly games, again it comes back to context.
Sometimes I struggle with guys who I think maybe take it too seriously, but I try to respect their approach and not detract from their experience. Those encounters are really rare though.
It is an interesting question.