I think there are times where a musician can be famous and have no one know who they are if they ended up at a random spot like an airport or a restaurant. When I ran into Myles Kennedy at the airport, last year, going from Orlando to Raleigh, NC, I had the impression that no one else at the gate area, other than myself, knew who he is. He immediately knew I was a guy that attended Alter Bridge's album listening party the day prior since he asked if I had a good time that day. It turned out, after we landed in Raleigh, and after I chatted with him a bit at baggage claim that there was a few Australian fans (who also flew from Orlando to Raleigh) that wanted to talk to him as well.
Also sports athletes can have this aura as well where they can go unrecognized and be very humble. I've read that Jarome Iginla, who spent most of his career with the Calgary Flames, but is recognized as one of the greater players in the NHL in the modern age, recently was interviewed by a Boston news channel talking about the heavier snow weather there (he resides nearby the Boston area now after retiring a few years back) and I don't think they knew what he did for a living, despite spending a season with the Bruins back in 2013-14. Iginla, to his credit, always has a reputation of being one of the more easy-going guys to be around off the ice and not let fame affect him.
Must be a great dream to do what you love for a living, get paid for it well, go into retirement, and not have people know who you are if you are in a random area. That's what something Neil Peart would probably love to strived to attain at times.