I'm an Eagle Scout as well. I never regretted the time I spent in the troop. I earned mine when I was 14, and I had been in Scouting since I was in elementary school through Cub Scouts. As far as the benefits I derived from it , it made me a better man, but it really helped me develop my leadership qualities, since a requirement for the upper level ranks is to hold a position of leadership for 6 months or a year.
The most important lesson it taught me is personal responsibility and time management. That's cool your kids cheered - I cheered too, and got a full scholarship for it (which unfortunately didn't include housing, but covered tuition, including out of state, and books). Well, I guess I'm not saying that being an Eagle Scout made me a better cheerleader even if I did end up being a Div IA athlete on scholarship. But through my membership in NESA (National Eagle Scout Association) I was awarded a scholarship that helped pay for my housing. So that's a concrete benefit I enjoyed.
In my chapter there were a handful of other Eagles and I guess we kind of "flocked together," since we had that other bond in addition to our brotherhood. The biggest thing about Eagle is it is considered a big accomplishment and can open doors in terms of jobs, it tells you a lot about the strength of someone's character that they can stick to an arduous and at times, time-consuming task and in the end they can finish what they start.