Not a Hat

It’s called a cap because it’s not a hat.
I know a hat when I see one. Baseball
Is famous for its caps (and in the fall
Football has helmets). When you hold a bat,
You wear a cap, with visor, and that’s that.
You think that I’m a pedant, what we call
Our headgear doesn’t signify at all,
But right’s right, fair’s fair, true’s true, and flat’s flat.

All right, resorting to tautologies
Makes any case, even good ones, look weak,
But I say you should think before you speak;
You can’t call something anything you please.
Words carry meaning, chump, and Hell will freeze
Before a hat has logos and a beak.