My rationale has nothing to do with which is better as I think they are both superb materials and both will work perfectly fine with whatever application you ask of them.

However, I think it would be a waste to have such nice linen used solely for pasting and not for stropping. Like sham said, a pasted paddle strop is pretty cheap. You can make one yourself using balsa wood and apparently a shingle? You can also purchase the hard felt and glue it to the wood. Pretty cheap and inexpensive DIY. I use an old hanging strop I got in an ebay lot. But thats what I had lying around so...