Mike,
Was this a strop from me? I think I have only done one of two like this so maybe you mean another type from another maker perhaps?
My standard strops are all leather and linen and one would have to select all leathers from my website to get anything different.
Either way, if it is a Latigo or similar it would have lots of draw and would be the one to use first. The smoother, harder leather would be for finishing and used after the more textured side.
Tony