So we dont get much commentary on this in comics anymore but people like Gar, beastboy Crush, Lagoon boy, walk around and are heroes but get varying reactions from people. Gar use to be just a green kid, now he's more beast like, but is still a personality/celbrity as he was in the 80s. I recall a pognant scene from young jsutice, when Lagoon boy has saved some children hostages, the kids reel back and then run and hug robin instead. There is a whole c plot on creatures an alien who live on earth disguised to get by in young justice.
Djinn is ashamed of how she or Crush looks, but she probably know how they appear does not keep people at ease and can dran unwanted attention.