I see how you came to your opinion, but I disagree.

While I don't think I've ever quit playing a game because the music was annoying, I'm less likely to quit a game of the music is good because a good track will help you get immersed in the moment.

It totally changes the mood of a game too. Without the right kind of music, the vision of the storyteller won't get conveyed as well.

Also, it's what keeps the games in our memories. Art styles, protagonists, and game mechanisms change over time, but music lasts so much longer. Everyone knows the few notes from Mario. Pokemon's Pokemon center song hasn't changed I'm 30 years. Personally, I still listen to Jet Set Radio and Phantasy Star Online OST all the time. It can make a franchise unforgettable.

Anyway, I thought I'd share my opinion instead of just downvoting.