The competition and comradery of playing against other teams in the area seems to me like it would make for higher stakes (involving pride and an in-person level of gamesmanship). I'd argue these are important skills in living a social life.

I also think that including some level of physical exercise, even if just as an ante to participate under the school's charter of the sport, would make students more healthy. I don't know if any research or statistcs exist correlating cardiovascular health to markers associated with better video game performance. But it would not surprise me if a lap or two around a track before a practice or competitoin would sharpen minds, reflexes, nerves, etc. If nothing else, it would reduce apprehension to adminstrators sactioning kids playing video games.