I see a lot of uncut guys in my gym shower (at least 30% of the guys are uncut) and I've never seen any of them intentionally wash their foreskin for others to see. They all seem to be modest in this regard and even if they shower facing outward toward everyone else, they will all turn around to clean their foreskin before carrying on with their shower. I've seen a few of them turn back around after cleaning with their foreskin still pulled back, exposing their pink glans. It's quite hot to see. I have stood next to some of them and can see them skin it back, wipe the head a few times before "covering" themselves again.
As a partially relevant side note, I know from my anthropological background that in the few cultures that still maintain nudity (such as the Surma, Mursi, and Mundari tribes in East Africa, all of which doesn't not practice circumcision), a man is considered "naked" when his foreskin is retracted.