an entity they would like others to see them as.

Not all the time. People can be ego centric that it has little to do with their concern about what others think and more along the lines of what they think of themselves. If you challenge a hypocrite about their hypocrisy, you get some defenses put up because of cognitive dissonance. What do I think of me vs how do they think of me? You have to ask, what made them dress that way coming to the interview? to impress others or they just like to wear it just cause it fits with their mood.

This is what separates bad interviewers from good ones in my opinion. Someone could come in the office butt naked and I would only think of it as odd behavior initially then I'd ask whether it was for a TV prank before concluding they're insane on the spot. You give people the chance to explain themselves and pick up from there no matter how obvious the case is. Someone could pretend to be insane to avoid legal consequences.