I really only care about diversity when it comes to creators. Any other aspect and I couldn't give less of a fuck. I only care about the creators because diverse backgrounds potentially give rise to diverse ideas/stories/plots/executions. Sameness is boring, and superficial changes just aren't enough to grab or hold my attention. Fresh takes on old and tired ideas are always interesting to me and very easily hold my attention. It isn't said for no reason that variety is the spice of life. I want creators to be diverse because they can (theoretically) tell me stories I haven't experienced 100 million times already.
What I don't like are characters shoehorned into stories when the original idea didn't have them. That being said, by all means, if the gender, race, or sexuality of a character isn't integral to the portrayal of that character and is easily swapped to some other value, go right ahead.
Actually, all I think I really want is subtlety, and I think we need new creators to accomplish that because it appears the vast majority seem to think subtlety in characterization means hitting the player over the head with it constantly throughout the game.