simply chiming in about watching practice for a while to try to get the full picture. Gym changes are hard - and it takes some time to figure out what will work for your kid - and what will work now may not later. At 9 my DD was training l7 also, and her HC thought she had a great chance at college gym. She liked to be pushed, was fearless, hard working, took corrections great, etc. We are not in an area of "scoring out". She did well at L7 but hit puberty, some fears and many self confidence issues. I was told to stay out of gym by her previous HC. I did. She was miserable and learned nothing for 18 months, although she won tons of medals. I had no idea what was going on. This was the only gym in town to have produced successful L10/college girls, and had one kid they were thinking of pushing to elite (had started gym at about 8-9 and was ready for L10 at age 13 - so much older than usual - sort of like your DD? - and this kid clearly had something special, which your DD likely has, and mine not like that at all....)
Only by switching gyms, watching practices, speaking often with coaches, etc did I figure out how much of the issue was DD and how much was her coaching...about 50/50 I'd say in retrospect. Yes, there were multiple "bad coaching decisions" - but DD also changed as she grew up a bit, and the combo led to stagnation. Only after taking several months completely off and having a HC that put her in charge is DD figuring out what she really wants...
I realize this is not your DD story at this point - and I certainly hope it won't be (it stinks to watch your kids dream change and watch their confidence fizzle while knowing they are still the same kid/gymnast they always were - but its a big part of this sport - which is why you get lots of posters totally overeacting to the elite thing).
I'm sorry if things have seemed a bit harsh form various posters here. I do know that I have learned a lot here for all three kids - mostly very helpful - and often a kind reminder of the reality of gymnastics - I can now compare my kids training, skills, and "talent" much more accurately to that of other regions/states, etc. I am much more aware of issues/safety/training techniques, etc - and can help my kids when they hit snags...whether it be how to tape wrist splints in my L7 son, or how to explain vestibular issues to my training L8 DD....I also know that best case scenerio, they are likely to make it to the highest levels of JO - but that will be it for my kids - and they'll only do that if they keep enjoying the journey and wanting to push themselves to overcome all the obstacles.
Rope climbs are used for being late, not listening, etc at their gym. DD has (rarely) been sent out of gym for crying - not for injury or painful fall - but for overly emotional days. This has been a totally new phenomenon this year - mostly related to coaches leaving (she's lost 7 coaches in 10 months - trust is a big issue right now), and her having a tough day without them. I fully support the HC in this - and when it happened I spoke with her to get her side of the story (which was much more straight forward than DDs).
Presently, HC has DD and another kid who transferred from the "old" gym having been told they were L8s but without the appropriate training to really succeed there work together to push each other to try the skills they are expected to have for L8-10. One option has been "giving" each other rope climbs if they won't go for things - Being as DD took over 2 months off and then ***** footed about for another 2 months, and the other girls strength is holding her back, its a win win situation!! I think the idea is accountability to self - not coach! To me its a great idea - but it may not work.
Consequences for missed skills, not going for something, falls, bent legs, etc are quite useful if they are consequences that will help the situation. Only by being an active participant in evaluating your DD new gym can you see if the consequence will help solve the issue, or is just "punishment". Self-discipline is important in higher level gym (even my kids levels) for safety and progression - which therefor lead to enjoyment and learning from what is, after all, for most kids, a sport they do until they grow up. I am sure that its even more key if a child is really shooting for more than JO level 10 (to avoid all the nomeclature). It's teaching - you don't spank a kid for spelling a word wrong - but you may make them write it a bunch, or work on phonics (ie rope climb/fundamentals)....
Good luck and I hope CB can be helpful for you.