After reviewing your post, it appears that Siri isn't behaving as you expect when you give it instructions to play songs you may like. The songs/albums selected for Apple Music aren't what you'd prefer and you'd like to get Siri on the same page as you are. I'm happy to help.
Refine your suggestions in Apple Music -- The first step in teaching Siri what you'd prefer is to refine the suggestions. Besides telling Siri what you love or dislike, follow the steps under "Update your choices".
Use Siri to play music or podcasts on your HomePod -- Although this article is HomePod specific, it has many great examples of what you can also ask Siri on other devices. After you've refined your suggestions, see if Siri is playing more of the music you enjoy.
Let me know how that goes.