One of the reasons it does look so wide is because the hat is made a couple sizes too large to fit down over the bandanna.is the brim size off depps hats wider than a "normal" wide brim?
For comparison here are a couple of similar styled hats.
VS is 2-3/4" brim x 6" open crown
Gannon is a 3" brim with 5-1/2" open crown
I was going with 3-1/4 -- 3-1/2".Just had Johnny on the phone & he confirmed the brim on this particular western was 3.5" including the roll. Hope that clears up any conjecture.
Hope you didn't wake him up!