I’ve seen other guys do the rope entanglement and various forms of it. I think years ago, it often served as a rest spot - much like a bear hug or headlock, but a little more interesting with one guy “trapped” and the other playing to the crowd.
Michaels cleverly got his ankle caught between the top & middle rope in his ladder match with Razor at WM10, although Bret may have been the first to do that spot in his ladder match with Bad News back his Dad’s Stampede promotion in the early 80‘s.
IMO, the most exciting and dangerous variation is the “hangman.” At least, that’s the name I know it by. This is where the wrestler traps his neck between the twisted ropes. It’s dangerous because of the pressure it applies to your carotid arteries; a few seconds too long and you’ll pass out.
Probably the most famous hangman in wrestling history is the one I linked below. This was Foley’s infamous match with Vader in Germany during which he completely tore off a good portion of his earlobe during the move.
It happens at 7:25 for the more impatient among you.