I taught some high school kids last year with IRCs Louie P and Ethan Kaye. That was my first introduction to Shay shay, Beastie rap, and Fred Schneider. I have to say, all three confused me, the rules, the counting, the reason for doing it beyond playground fun. This year we decided to drop the last two and are still doing shay shay but without the expectation that everyone should do it (like in hotspot, that's part of what's cool about it.) So it's just a "look at me" "support me" thing, which is fine, too. They're theater kids, get em out of their heads and let a few show off.
The kids of course had no idea who Beastie Boys or Fred Schneider were!
I think it's helpful to separate (as Will did) the two different ideas of what is preference for advanced players, and what is good for teaching or coaching. Of course grownup professionals are all going to just do what works best for them, what they enjoy, etc.
I always preferred warmups that are most like what we intend to be doing in the show, scenes and organic games and pattern stuff. But I liked best just having some quiet time in a corner or in tai chi horse stance, which can get you quickly focused and energized. Maybe some shared words or patterns, and eye contact. Followed by a quick beer, but that's more symbolic than medicinal.
I work with professional jazz musicians and some of them run scales before a show, look over the music, some hide outside until it's time to hit. Everyone's cool with what everyone else wants to do (and I think improvisers could be too without threatening the quality of the show, group mind is created on stage, not by forcing people to do things they don't want to do). I do know the band usually sounds much better when they've had some time together playing even half a song during a sound check, warming up by doing what they're going to do, listen to one another, get each other's vibe, know what they'll be dealing with that night as far as energy and personalities. But we have to force it on them call it a sound check or rehearsal...and that's why you have leaders and directors. But game-type warmups in that professional setting would seem ridiculous...if someone told them "everyone has to run scales togther" "trade off with that guy you don't really like" "you play a melody and then everyone else repeat it" "pretend you are a turtle", they'd quit. If they were students...ok.
I fondly remember Del scolding a new class because they asked to first do a warmup before leaping into a longform. "If you're not warmed up from life, you shouldn't be doing this work."
But I need some zip zap zop first!