It sounds like your DD has a great support team both at home and in the gym. I was worried too about the burning out and pushing too hard of the little gymnast, but I really do think that the perspective that all involved hold of gymnastics and the child's involvement in the sport is key. From your posts, it sounds like you are inolved but your DD holds the reigns. That is a healthy perspective.
My three kids are quite stubborn and can be obstinate at times. Forcing any of these 'beings' to do anything is near to impossible.
If your DD enjoys gymnastics, I bet she will acclimate to whatever comes her way. I know my little DD is doing so much more (I'm talking about things aside from gymnastics.) then a lot of kids her own age. I hope that this will be carried throughout her lifetime. I really think a sport like gymnastics helps to build strong bodies and determined and motivated minds. But I get what you are saying. Some parents out there have stars in their eyes. But clearly, the 'clouds' do set in. I like to keep a pretty clear head and I just enjoy watching my DD have fun.
She has her second level 5 meet tomorrow. She said, "Mom, I'm going to work hard to get first place!" And she continued to show me her routines and how she, in her mind, was going to do it. I simply responded, "Oh yeah." Anything more from me, I think, could have raised the expectations for her and I never want to stand in the way of my childrens goals. If she doesn't win, or even place, she will have to learn to set other goals for herself. I hope I am getting it right. Parenting is tough! That consumes my time more than anything else can. But I know I speak for other Mom's on here, "I wouldn't trade this job for any other!" I just hope they won't send me to a retirement home!!