We used to do this to our dog - but he was about ten times the size of a cat. If my lady cat would only allow me to do this then it would mean no more barfed up hair balls.
I see he likes getting his feet done. Typical male!
When i was a child we had a cat who loved to be vacuumed. He would lie down in front of the hoover and stop whoever was hoovering until he got his turn.