Tilley hat wearer here. I have a couple in cotton canvas, one hemp. Been wearing them for years. Always have one when I am hiking. Had a great Stetson when I was a kid, and I have an o-fee-shal Indiana Jones Stetson I don't wear any more.
The Tilley looks like a great hat to protect against falling precipitation, but doesn't the thick canvas retain too much heat for sunny summer hiking?