Another way of figuring this out is by looking at the etymology:
Early 15c., “pleasant pastime,” shortening of disport “activity that offers amusement or relaxation; entertainment, fun” (c. 1300), also “a pastime or game; flirtation; pleasure taken in such activity” (late 14c.), from Anglo-French disport, Old French desport, deport “pleasure, enjoyment, delight; solace, consolation; favor, privilege,” related to desporter, deporter “to divert, amuse, please, play” (see sport (v.)), also compare disport (n.).
This might seem that our understanding of sport as athletics is more recent. Maybe a result of commercialisation? Makes for excitement, storytelling, and pretty pictures - and ads in between. In the old description, sports appear to fit quite well into the general idea of “leisure class” pastimes. So Rock Paper Scissors was a go! Certainly, this is not the 15th century, so a more modern understanding is useful, but I think it’s always interesting to investigate where things came from. Lovely random topic!
Also - just the right question to be raised and discussed by the geek squad.