But no, that is NOT the way these other services recommend things.
Spotify, for example, recommends music that it thinks is related, but not necessarily liked by both groups of people.
For example, a person who likes Black Sabbath, and really technical instrumental metal, probably doesn't like the comparatively simpler slipknot. While some people who like slipknot may like black sabbath, but even less will be aware of really technically advanced instrumental metal.
music-map.com will take that into account. When you say "my three favorite bands are", you're not going to see slipknot show up in the result list, because people who mentioned those technical bands tended not to like slipknot.
But if you go to spotify and listen to sabbath, you'll see slipknot recommendations, because there is overlap, right?
I just went over to music-map right now, and sure enough, black sabbath and slipknot don't overlap, even when you do searches of the bands individually, let alone if you enter multiple bands.