Wool bath mat, what are your thoughts?

I was thinking of wet felting a thick wool mat to use as a bath mat.  Say a minimum of half an inch thick.

Has anyone done this?  Or woven or knitted a wool mat?

It seems like it would be nice to step on.

But would it dry adequately, and how would moisture affect the fiber, or have I just not thought through?

Is this one more thing that would probably be fine in an arid climate that would not work in a humid climate?

Wool sheds water, readily - toss it on a rack or the side of the bathtub for a couple hours, and it would be good to go. My main concern would be finding a way to make it non-skid. I've been wanting to do the same, for a long time. But, My joints are often unstable, and I struggle at times, with vertigo, so making it non-skid would be very important, for me.

I like the way my cotton bathmats pull water off the bottom of my feet. Would wool do that?

I wouldn't love doing this, but some lines of silicone caulk on the bottom would make it non-skid, but then you'd have a bottom and a top.  [ETA: Thinking on this more, I might add the silicone strips to the floor where the bathmat goes instead. It can be flipped, applied once it works with any bathmat and even when the bathmat is in the laundry.]