Headphones

I've been thinking a lot about headphone pads and I've came across a variety of materials from genuine leather to velour to clarino and Alcántara, but never wool?

I wonder why? And I'm not talking wool as in an itchy sweaty but wool as in those wool suits and those luxuriously comfortable wool seats in certain cars. It breathes very well, doesn't get too hot or cold, whickers moisture and I presume has sound absorption properties rather than reflection like leather or pleather, which could help in reducing any unwanted sounds and vibrations.

So why not wool?