What'sa matta, cat got your question?

[Mermaid]

Anyone got cats? Why is it a declawed cat, like mine, still rubs/scrapes his paws against surfaces as if to sharpen claws he does not have?

Because it's a natural action, and without claws, they can't exercise their back and neck muscles normally. 

Declawing is so wrong. It is illegal in a lot of countries. I support its ban in the USA fully. It's not medically ethical to declaw cats and there is a growing number of veterinarians who will not do this surgery. They take a vow that starts with "first, do no harm". This is clearly doing harm.