Solo was a western set in space as well, but it was more of a train/stagecoach heist story, where Mandalorian is a lone stranger saving the frontier town kind of feel.
This show takes it's cue from Star Wars in how it tells the story visually with a minimum of dialog, doesn't go out of it's way to explain the environment, and just places you in the middle of it all and lets you discover the story for yourself. The idea is that it transports you to someplace completely different, yet familiar in a lot of ways. In Star Wars, the music was a major part of that grounding, but audiences have evolved enough to let them get a little more interesting with the music (at least the instruments). The soundtrack still has themes like the original but they are a lot more moody and directly connected to the characters it seems.