The good kids have always been picked first and they will continue to do so in life. It may seem unfair to the nonathletic kids but life isn't fair. When grades are given out the smarter kids will have the advantage. When it comes time to date the better looking kids will have an advantage. It all even out in the end.
Eh, I don't know if it evens out so much. The smarter kids (or the harder-working kids - my mom was once told one of my siblings was an
overachiever!) aren't determined to be that way in the judgment of their peers. They just ARE smarter, or more willing/anxious to learn. It may or may not all 'even out in the end', but dating is an individual activity - unless one
chooses to be a constestant on a TV reality show

. Being among the last two or three people standing out on the field, during the "you take her!" "no, I was stuck with her last time!" whispered conversation you know is taking place - and we were NEVER chosen as the team captains, i.e. able to pick the teams - time after time, year after year, can be devastating to one's self-esteem.
Even the "count-off" system can be tweaked, if the participants know how many teams there are - the best players can simply place themselves every xth person - but you don't have the embarrassment of letting the students pick their own teams.
I don't like the 'everything has to be equal' mentality that seems to be prevalent all of a sudden. It is like awarding all the teams a trophy or not keeping score. There are winners and losers in life, that is how it is. There are people who are better at other things then others, that is how it is.
I have no problem with the better kids getting picked first whether it is more athletic kids for the sports teams or smarter kids for the academic teams. In the real world everything isn't equal. You succeed or fail on your merits and it is never too early to start learning that lesson.
Oh, sure. I agree. Whoever came up with the 'everybody gets a trophy' mindset is a twit. I KNOW I'm bad at athletics, and that I'm good at math and grammar, and that my tact needs some work

But I don't think we're talking about actual "team" teams here - the school football or baseball team, for example. I think the OP was talking about individual gym classes, where the activity for that period might be kickball. The teacher picks four kids as captains, the kids pick their own teams, the SAME classmates are always the last ones picked - the ones standing in the middle of the play area with nobody actually wanting them on their team.
Even in single-period academic competitions (again, not organized teams, which is not what the OP means), the teachers don't pick team captains and allow the captains to pick their team members. The teacher simply assigns the teams - so why can't gym teachers do the same thing?
But ORGANIZED teams - again, the footlball team, the baseball team, the math team - where most of the hopefuls trying out for the team already have an idea of their respective abilities in relation to the needs of the team, aren't, as far as I can tell, the focus of the OP's post.