A real life anecdote on altering taste, which is a related to art really:

The first time I tried a strong cheese, I didn't like it much (I came from a place that consumed relatively little dairy). However, I could see that others liked it, and expressed REALLY STRONGLY how much they liked it. So I kept trying different types until I did - then a great new gastronomic experience was opened to me, and my overall appreciation of food increased as a result. I call this winning.

Nowadays, whenever I speak to someone who "dislikes" a certain type of food, I always try to persuade them to try enough of it to like it, even if they don't want to like it now - because if they did like it, then they would regret not liking it, and it would make them appreciate more things as a result.

I can see this functioning similarly music: by not liking something that other people like, and not making an effort to like it (or worse, making an effort not to like it), you could be missing something really great.

The problem with altering preferences is, of course, that before you alter them, you apply your current preferences in your thinking, so the act of altering a preference always seems different in hindsight. "I was so naive to like this before!"; "I was missing so much before!"

My personal preference is to have as rich a world of enjoyable experiences as possible. Therefore, I strive to never have the thought "I don't want to like this", since it puts a limit on my appreciation of a category of things. In general, I'm the kind of person who "likes things". I don't know what that says about me...