Well, I think the central problems being complained about are the result of a lot of very complicated and interwoven problems with society. Generally speaking you can't really FORCE a kid to do what you think is good for them, and expect it to turn out okay. For a lot of these overweight, withdrawn kids, you have to look at why they are withdrawing from society / mainstream social activities, and fix those problems. A summer camp for nerds and outcasts (basically what we're talking about) is not all that surprising a development.
I'd ask the people making the complaints what exactly they would expect to happen if they were to make these kids go to a normal camp, or "run around outside and play" with other kids. If they say "nothing" and "it would turn out fine" and "it would be good for them" then they are a bit detached from reality because if that was all true, the kid would already be doing that. The other kids aren't going to embrace someone with awkward social skills, who might even be fatter and stranger than normal because of the withdrawal they were already forced into.
Strictly speaking one has to address long term issues like bullying, antagonistic peer pressure, and similar things. Not to mention work on getting school systems to enforce their rules even at it's own potential expense. There isn't a lot you can do to address the problem by dealing with the "problem kid" directly, nor can you force everyone else to be his friend, accept him, or do anything else really. The issue you need to focus on is changing these things over a period of time through all the other indirect variables around the situation. Oh sure this will mean expelling a lot of kids over a number of years, taking flak for various flavors of "discrimination" when a true zero tolerance policy of certain
subcultures is enforced... etc...
Instead of whining about video game camp, the people doing that whining should be looking at the variables that create the kids who provide a demand for such a thing.