I didn't have any baseball caps until 2008. They score on two features - they don't blow off, and they provide a sunshade.
Bobble hats look too "Benny" (Crossroads), flat caps look too Gentryfied, and although I do have a couple of Tilleys with full brims, they touch the head restraints and are at risk of blowing off...............................and look vaguely ridiculous in a car.