Nope - the Air Core Plus isn't stiff at all, though. That might have something to do with it. But I've used it on two hammocks and haven't noticed any wear to speak of.
I did get some wear on the supports from the Air Core 2 (really really thin stuff) that I was using for the ridgeline. I don't use that anymore...probably good for tarp tie-outs but too thin for ridgelines and not strong enough for hammock supports.