Oh yes, agree completely. I even do going into shops - !
It does irritate me seeing 'young folk' habitually wearing hats inside as if said hat; usually a baseball cap, is glued onto their heads.
you are of course supposed to do it when entering churches.
tho a generally respectful sort I was once ticked off by an italian bloke who could be somewhat prissy for, forgetfully, leaving my hat on, when wandering round an italian church.
which on reflection made me more likely to do it in future.
Particularly as I know his own faith went south when as a youngster a priest tried to feel him up.
Best keep the cycling helmet on for safety in future I guess.
confession - posted when wearing a foldable baseball cap inside so that the sunlight doesn't obscure the screen.