Whitey took another nap on my high bookshelf. When he woke up, he acted like Emily (who stretches a lot and rubs herself on her bed when she's relaxed).
I reached up and scratched his chin for moment.
Unfortunately, he also did something else that Emily does occasionally -- he wiggled so much he fell off.
I realized out this was possible before he did, so I had stepped back out of the way. As much I wanted to catch him, I figured him in paracat mode would be claws fully extended and flailing, and all I would do is get scratched as he bounced off me.
He landed awkwardly on the floor, but a gentle check of him showed no obvious problems. He also seems his normally mobile self.