In the almost 8 years that I've had Hysson, I've never had any problem with his claws vs. the tent floor. I do have him sleep on a piece of CCF pad, but he has to walk over the floor to get there.

Admittedly, I do clip his claws twice monthly, so they are relatively short.

The only time I've ever had a problem with a tent floor was when I inadvertently pitched the tent over a mouse hole!
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May your trails be crooked, winding, lonesome, dangerous, leading to the most amazing view--E. Abbey