Wool is in deed a fur from sheep but it is sheared. Fur felt is not sheared.
I think the big deal is that fur will "do the job" for decades but wool wears out much quicker, falling apart eventually.
John Lofgren Monkey Boots Shinki Horsebuttt - $1,136 The classic monkey boot silhouette in an incredibly rich Shinki russet horse leather.
Grant Stone Diesel Boot Dark Olive Chromexcel - $395 Goodyear welted, Horween Chromexcel, classic good looks.
Schott 568 Vandals Jacket - $1,250 The classic Perfecto motorcycle jacket, in a very special limited-edition Schott double rider style. Blasphemy alert!
I got nothing against wool felt hats. If what you want is a low-priced hat that you won't kick yourself over losing or sitting on, or a hat you wouldn't hesitate handing off to some girl who looks real cute in it, well, by all means, buy a cheap wool hat.
But don't pay something in excess of a hundred bucks for a 40 dollar hat. There are retailers now charging such sums for all-wool hats. And there are apparently enough people paying those prices for those retailers to keep on charging those amounts.
It's possible to make a high quality wool hat (I just posted one) or blend (yes there were beaver - wool blends). Some were at the highest price point (for example vicuña ).