Somebody should publish the results, this sounds like great Ig Nobel material.
Capacitance doesn't seem the right measurement though, you want to measure the capacity of a cat to collect static charge. Not the same thing. (One of the StackExchange answers points this out too)
One time when I was a kid, I was jumping on a trampoline with my socks on, and my cat jumped up on the metal frame. I reached out to pat her on the head, and a blue spark an inch wide jumped across to her nose with a loud cracking noise. I had never seen her run so fast, and she wouldn't come near me for days. So I can verify, at least qualitatively, that a cat's capacity for dissipating static charge is enormous when the cat is properly grounded.