For touch-ups, I use smooth-surface strop with 10,000-grit chromium oxide. The firmer surface allows more precise control of honing angle.
I use a rough-surface strop with 600- or 800-grit abrasive powder for polishing the sides of blades or removing blemishes.
The problem with finishing an edge with the long-fiber rough-surface strop is that the greater elasticity (softness) tends to convex the blade bevel, resulting in unintentional rounding of the final edge bevel. If you WANT to convex the blade bevels, then the softer rough-out strop surface makes sense, but you should use more acute blade/strop angles to prevent rounding the final edge.