There's definitely a learning curve for parents, too!
I just think in many ways, gymnastics is different from other sports. For instance, my son has been swimming since he was five (now in high school). Once he learned the four different strokes (fly took a while!) that was pretty much it, and the subsequent years were all about refinement and strength building. The mechanics come very early.
In gymnastics, I've learned that the refinement and strength-building are front-loaded because of the complexity of the skills these athletes perform. To be successful and safe, taking time early on is not just smart, it's vital.
All of this to say to OP: the early years can be subtle in terms of skill progression, because you might not see the pieces come together for a few years. That said, not all programs are equal, and some may be a better fit for your daughter in the long term. It's hard to tell when you're just getting started in the sport, and you might think that if you're not seeing her work on "big" skills, she's not doing much of anything at all. I'd learn more about what they are training at the lower levels and also look at what the training is like for the older athletes who a further along. Might help you see the bigger picture.
Either way, good luck!