Masked Superstar would drive between shows with his mask on.
Dick Beyer would go into public places with his Destroyer mask on - especially in Japan. He would carry the thing with him while tanning outdoors in case someone would walk by. But, it wasn't as if many/any folks would recognize him.
Verne Gagne convinced him to unmask in a gimmick match. Verne thought it would make a great angle, and Dick thought it would hurt his career. Both were wrong. After removing the mask, the audience was silent because nobody knew who the hell Dick Beyer was.
Last I heard, Dick hosts a radio show somewhere...and yes, he wears his mask...on the radio...