[frogjerk]

That’s a cap and not a hat.

[Errant]

Really! lol

[Errant]

I sometimes wear a hat, of Australian design, when mowing on the ZT, fishing, or working out in the sun on a hot day.

Otherwise, I have my AOPA cap on, or nothing at all... ;)

[Salamander]

Now *this* is a hat.

This bigger question is why men stopped wearing tiaras.

Life is full of millinery mysteries.

[5th MEB]

You are correct, any thing with a bill and not a brim is not a hat. I have been wearing hats since I was just a kid and still do every day. I have a selection of very fine 5X and up beaver and fur felt hats; a selection is necessary for the type of activity or function you are participating in. Depending on the weather and what I was going to be doing for the day, I have been called every thing from Tex to Indiana Jones.
Pinch front Stetsons and snap brim fedoras remain my favorite styles.