i'm not bald, neither going bald, sometimes have hair down to my nipples and other times cut to 2mm and i regularly wear a hat in doors. keeps my head warm and during the times i have hippy long hair i have to keep a hat on to keep the hair out of my face.
i used to do loft conversions - hot summers, inside a loft, hot enough to make you vomit - yes, had a wollen hat on.
all useless information but hats are cool. bring back the bowler and top hat, that's what i say - you really aren't dressed without a hat.