Yes. Or put another way, there has to be something off for social mammal juveniles not to play together with others. And something off is not generally popular with mating females.
On that note, "7 minutes in Heaven" is in Munroe's "Computers may never outplay humans" category in https://xkcd.com/1002/ .
(as glass bead games are closely related to Calvinball, I'd be interested to see if that categorisation remains accurate or if we wind up in the world of https://xkcd.com/810/ )
I just found out about "7 minutes in Heaven", but as it's described on the WWW, I'd hazard a guess Ken Jennings could in principle find himself dethroned simply by current technologies with copious amounts of reinforcement feedback (and letting Honda iterate a bit on the implementation).
Conquering Calvinball seems like it's going to require at least 810 and probably quite a bit beyond that.