Don Johnson is legendary for being a poor-acting 'celebrity'. During the filming of Nash Bridges, they would send a team ahead to make sure no one approached him or asked for his autograph. If some person didn't get the 'memo' and approached him, he would launch into a tirade.
I've never met a music celebrity that wasn't humble and thankful to be approached by a fan. Sometimes though, you can tell when they are trying to be accommodating and thankful, but want privacy.