Yes, proper tagging is indeed very important.
But sometimes, tags get mismatched.
https://www.qobuz.com/de-de/interpreter/john-williams-10/13161796
It seems, the two John Williams’ are generally separated, but sometimes, they get mixed up.
And sometimes one John Williams performs music composed by the other John Williams. 🙂
As I said, what kind of tagging system does the job for you may depend on your needs. Many people with a few hundred pop songs on their MP3 player may do just fine with TITLE and ARTIST, it’s all they need. Some people don’t even need ALBUM. But you can’t manage a larger music collection like that, especially not a larger classical music collection.