Does appearance influence what strangers think of you? Yes. Have studies shown shorter men have less success in dating and professional lives, everything else being equal? Yes. Do most social interactions with strangers, where your appearance matters, happen while wearing shoes? Yes.

All your arguments are moot, but more importantly, you can't know what it's like for short men because by your own admission you are giant by comparison. It's a lot like a man claiming female discrimination in IT doesn't happen because he's never noticed it (and he has a lot of female friends!).