I try and adjust too. Just the other week, a song was called, which is in straight time, and a guitarist asked if it was a shuffle, and the other guitar player wrongly said yes, and played the song as a shuffle, which was awkward, so after a verse I started straightening out the ride pattern, hoping everyone would get on board. Well, I got "the look" from one of the guitarists, who said it's a shuffle, to which I replied "It's supposed to be straight" as I fell back into a shuffle. Yes I try and adjust. That said, sometimes the others don't know what's happening. There's also a point at which you have to stop adjusting and try and re establish a groove at the different tempo.
You really have to take each situation differently. As I play in the house band of a blues jam once a week, I've had to suffer playing behind my share of hosers. It's all good though, I actually learn a lot from the difficult ones.