I always wear the same hat when I visit the flock except during the winter.me neither. I wore something last week that really freaked them out for no reason visible to me (they have better/different eyesight than/ from us) but otherwise they seem to recognize me whatever I'm wearing, from PJs to winter hibernation gear- as long as my head is visible. They recognize one another by comb size and shape so I imagine headgear could make a difference; I rarely wear any.
Yes, my head is inside that hat!

That particular cockerel went to auction about a month or so later. He was from the original set of chicks I brought home in February 2023.