I actually do this. Once a week, for 10 minutes I listen to free form Jazz. I have been doing this for year with different music. My hope is to eventually like it. So far, not so much. Two years ago I started listening to overtures. I always liked the William Tell Overture, but couldn’t listen to any other overtures. They made me hate myself. After a while I came to like them, so much so that I started listening to classical music.
Now, many of those overtures are well respected stand alone pieces.