I wear an Outback Trading Co. oilskin River Guide hat [0].
I don't care if it looks cool, because it keeps my glasses dry in the rain, and the sun out of my face the rest of the time. If I want to be fashionable, I can wear something else, but mostly I just want to be comfortable.
That looks fit for a different purpose. One of the reasons I wear a full-brimmed hat is to replace both sunglasses and umbrella, and the mesh portion of the Tilley that you linked allows rain to pass through the crown. The Wanderer [0] is likely closest to what I would wear.
It's a bit more expensive than what I already have, but it looks like they have a lifetime replacement guarantee and a 2-year insurance policy against loss. All other things being equal, I'd rather pay less up front and take greater care with what I bought.
Fedoras are still cool... if worn with a nice suit by a well-groomed person.
Fedoras worn with undershirts and untailored clothes were never cool in the first place.