I used to have a neighbor who had a terrier. It could be immobilized in a similar fashion by draping a washcloth on it's back. The owner called it the "beddy-bye" trick.
"Time fow Dusty go beddy-bye! Covew up wif her bwankie."
{{flump}}
"Nighty-night, Dusty!"
Yes, Dusty's owner was an old woman.
Anyway, Dusty would lay there for a few seconds then roll over to get rid of the washcloth. We didn't have affordable video cameras or the Internet in those days, though.