After reading your original post and though the thread, I had a few thoughts. I have decades of experience in this sport and have 3 gymnasts. I wanted to try to help you out with a few answers.
1. This isn't like school, you do not get daily, weekly, monthly reports on your daughter's progress. She trains and they coach, and unless there is an issue, they do not need to meet with you. If they identify her as gifted and elite material, they will usually pull you aside and talk to you about that path, not the other way around.
2. Coaches and owners are bombarded with parents who think their child is gifted, or should be pushed, or should skip levels, etc. They are often vague to avoid hurting feelings, and they usually know how to train the kids better than the parents do, especially new gymnast's parents. We see the Olympics and we see the glamour and fame, but we don't see the years and years of hard work and training that started with compulsory levels. The early years are VERY important to the optional years.
3. Winning level 2 is wonderful, but it's not an indicator of the future. Each level has challenges and each level builds on the level before it. Skipping levels is not always the best course, even when they are gifted. I know many level 7, 8, and 9 gymnasts who were scoring 38 AA and even 39AA at levels 6 and 7 and 8, who were allowed to score out of the next level and move up, and many of them ended up quitting, injured, or repeating the level they skipped to. (Not all of them, but many of them). It's a special kid that is able to skip levels and move quickly and maintain their ability, drive, and winning. Even the ones that are amazing often have a period of frustration and struggle, so keep that in mind when you are trying to find a place that will skip your kid or move her as fast as you want her to move. Remember that for the most part, the coaches do know what is best for your daughter. You do not want to push her into over-training, injuries, and burn-out which are all very real things.
4. Be careful going outside of your gym and finding someone who will be your "yes man" and agree to train your kid without the blessing or knowledge of her gym. They may just be seeing $$$ and will gladly take your money and do your bidding. Most gyms frown on getting outside coaches to train your daughter unless it's a mutual agreement. You don't want to get a reputation in the gym world as "that mom."
A new gym doesn't mean they are green and clueless. Let your daughter enjoy success and build her confidence, she has plenty of time to reach the highest levels. The Las Vegas meet is a regular invitational, it's not any kind of international championship or anything. Most meets, even the biggest ones, are invitationals that anyone is allowed to enter. I haven't looked up her scores, but is she regularly scoring 38 or 39 AA at level 2? Even if she is, it doesn't translate to success at higher levels, believe me. I've seen many a fantastic and undefeated high-scoring level 2, 3, 4.... move to higher levels and then experience struggles due to growth, harder and scarier skills, and having to work hard and long hours that caused them much grief, anxiety, burn-out, and many eventually retiring.
Slow down, mom. If you want to try other gyms, that's ok, but don't expect suddenly having your daughter training really high skills without first getting solid basics, something that takes time and lots of conditioning and training the same things over and over and over.
Sorry about the book!
. All signs point to this not being a gym where your daughter can reach her potential. If you need a private coach, then you need a new gym! 
