I've never seen Benjie sleep, but think he does it hidden away under my bed.
Thumper definitely slept for very short periods - whiskers & a paw twitching & quiet grunts, but his ears never slept! He was wide awake if I made the slightest movement (rustle of my clothing).
I only saw Thumper make rapid eye movements when asleep once, even though the twitching indicated he was dreaming.:?
I also saw him trying to groom an ear in his sleep. Paw went up, missed ear, came down again & Thumps licked thin air. It went on for some time until I woke him up by laughing. :lol: