When you're in the car and listening to the radio when one of these songs comes on, are you repulsed? or do you say, meh, it's not my thing, but it's not horrible so I'll keep it on?
If you can listen to the songs, then you'll be more than likely able to enjoy the game. But if you genuinely hate the songs (can't listen to them no matter what) I doubt you'll have fun with it.
highly doubt you will, the music is a HUGE part of the game, you might definetly enjoy the game play, but you wont get the full potential from the game if you dont like the music