Folks do get strangely uptight when a T-shirt is on the line. (or a medal. At least medals look like you accomplished something.) And I understanding wanting to have some tangible symbol that you have made a progression or done well in something. I'm nowhere close to swimming at a meet with a team, but I still like to mark down an improvement in my times. It's harder to do that, I think, in hockey, or even in softball, where there's no obvious progression beyond "I can stand up/I can skate forwards/I can stop/I can skate backwards".
My basic anxiety about other people, coupled with perfectionism, (couple with my disinterest in alcohol), makes me a poor candidate for most leagues and tournaments around here, with how intense people get. I cannot begin to express how difficult it is for me to not think that the Saturday group is trying to get rid of me, and even then, it's like "well, do you really know they're not trying to get rid of you? Even if you asked, they might be lying." Can you imagine me trying to play in a league? I would throw myself under the zamboni by the third game.
There is a tournament coming up in August that I would like to play in for specific reasons, but I'm waffling about it for the above reasons.