I couldn't resist getting a football reference in, kind of...
While I would concur with much of this post I would like to re-emphasize the human element at play.
One of the benefits I gained from playing lots of different sports and participating in outdoor activities, especially team-based, as well as later on in the workplace, was witnessing (...and participating in) the human mechanics at play, per se.
I've been on both winning and losing teams, what you learn is that persistence plays out, of course in the real world time, budget, profitability and return on investment are some of the extra challenges to add to the 'sport'. One might want to consider binding a team to 'that' architecture.
Having the team feel and exercise a 'winning' spirit is an excellent thing to foster, when everyone is 'winning' the cohesion is superb :-p
What doesn't happen when you make good software as much as one would like to twist the argument that way is the challenge of keeping a team in the 'winning' zone. Burn-out is one issue, boredom another. For some, the remote aspects can be really tough in those instances. In all of these and other cases, trying to model that with software / software techniques can only get you so far:
http://www.hackdiary.com/2010/02/10/algorithmic-recruitment-with-github/. One of the things that has emerged in management thinking as a clear advantage is the use of diverse teams - so now you've got the challenge of the diversity mix to add to your team building algorithm if you weren't already on the same page:
http://web.stanford.edu/~phinds/PDFs/Dahlin-et-al-AMJ05.pdf
Team size has to be one of the most significant things to focus one's attention on, as the emotional mechanics are somewhat different:
http://pelagiaresearchlibrary.com/advances-in-applied-science/vol3-iss6/AASR-2012-3-6-3633-3639.pdf
So, hope some of this resonates with you all and thanks for letting me share a reference to the football ;-)
PS. Dare I say it, looking for people with sports / team-based experience prior to and outside of their career is a useful filter but don't let that obscure people who have not yet had the opportunity to do so and would relish the chance, given the opportunity.