The black suede one came with a Jazz bass my friend sold me. I didn't even know it was a Levy's until I decided to use my old one. The black one is smooth on one side and suede on the other. It's wide enough to be comfortable, but the leather is still stiff and hasn't been broken in yet.I'll have to check out the suede. Didn't know they made that. I've got one if their padded straps. It's comfy but feels a bit bulky. Also, a bit of a squeeze to shove in a gig bag.
Unlike my old one which is so broken in, I had to swap out the adjustable part of the strap (taken from the new one) to continue using it.