We don't have 4H in the UK but Pony Club is very influencial here. I was part of it for 4 years, but through a riding school seen as I didn't have a pony of my own, and I leart an incredible amount of stuff through doing the badges, and it was great fun! Myself and my best mate both went to PC and we know tonnes more than another horsey friend who has never been part of Pony Club, and tbh we are better horse people for it (find my previous thread about said friend buying a totally unsuitable hore etc), but I also out grew Pony Club eventually.
As long as your daughter is enjoying herself and learning correct things about horses, it shouldn't matter where or how she learns things, as long as she is learning. But also don't be worried if your daughter wants to leave after a few years, or feels she isn't learning anything more. Like I say, I left after 4 years, I gained all I felt I could in the current situation and looked to push myself further into the 'grown up' horsey world, so I took my British Horse Society Stage 1 exam (recognised equestrian standard in UK, not sure about US). Pony Club helped immensly to push me into the next stage, couldnt have done Stage 1 without it really!
We lose ourselves in the things we love, we find ourselves there too ~Kristen Martz