I posit you can do both. I think not worrying a final score defeats the purpose of playing.
And yes, he had tryouts and no he didn't make the best teams, but he strived to make them next time. I realize that not all kids are going to make the best teams, but striving for being the best is what is important and that includes scoring AND the fundamentals of the game.
I see it all around and in coming up what I call the wussification of America. Gymnastics where everyone gets a medal, swimming where everyone gets a trophy and on and on.
But to me and my family it IS about winning and losing and how to handle each and neither be a sore loser NOR a sore winner. Without points, the game is quite literally pointless!