I think it depends on the club, but I've always thought 4-H taught a variety of useful skills other than animal-related ones. My club was very big on promoting community service and education. 4-H is how I got most of my community service hours actually. The whole club was always very involved in community service and we would always make it one of our yearly goals to reach a certain amount of volunteer hours. Leadership was also a big part of my club. Even when someone wasn't an officer we would still assign older members leadership tasks to gain experience. Every year my club would do a non-animal related educational display at the fair (usually environmental) and we would assign a member to coordinate it. I did this for about 3 years and I gained a lot of leadership and organizational skills through it. I also held various officer positions over the years. I don't know if I would have gained these leadership skills without 4-H. Every club is different, and some are very animal-focused, but I know my county, especially my rabbit club, was always big on promoting service, leadership, and other skills. We even have a public speaking requirement for every member.
Weird....that could not be further from my experience. It depends on the county, I guess.