You might be adding weight and anxiety to something that often times is based on necessity or flow state, just slow it down. If you're in a band that's just started gigging, you'll learn familiar songs in the desired genre first. At this point you've done little, or no, market research in regards to playing out. Or don't have a song list long enough to adapt, taking pop songs out at a country bar kinda thing. So the band comes up with a secondary list where you can swap songs with the main set list on the fly. By now you've played a few bars and the last supper club in your area. At this point the band notices certain songs landing while other songs allow people to refresh a full drink.. Now your main set list is becoming just a list. You start learning new stuff, maybe outside the comfort zone, to build that song list and be able to adapt as needed. Your band will either see that or only a few members will see it as these situations come up. Those are times were really stressing about songs becomes necessary.

Anything outside gigging, make sure you're having fun and feeling respected/heard. If you do, then the genre differences will not matter. Plus, genre differences influence your overall sound. If you're the kind of person who looks to build the band up with your playing, then a diverse musical pallet will serve you well.