I know many disagree, and that for many its simply their reality - but this is exactly why I hate to see 5-7 year olds competing these low levels, unless its "all fun and practice competing and doing meet hair - or for boys remembering to put your shorts on right side out..."!
When kids first start to compete they usually have a big learning curve - and once they have the basic skills it can seem as a parent that they should "score well"Sure there are a few phenoms who have perfect form and skills at age 6/7...but most kids not so much...and this improves with time and proper teaching/practice - but still at different rates for different kids...
The lower level vaults are perfect examples - old boys L4 was a run - straight jump! We all laughed all season waiting to see if any boy could score much different from the others....even the hand-spring on mats is really "a training drill"...DS younger (9) can vault a 9.4 - or a 7, depending upon whether his mind is on his form/run/etc....really - 2 meets in a row! I'm eternally grateful that DD gym doesn't compete until new L4 - sure, she couldn't get over the vault table her first meet and scored a 5.5 - but it was a mid 8 within 6 months....and her whole team/team parents clapped when she first made it over in an actual meet...I was in the lobby - couldn't watch vault then!
All this is to say you REALLY need to stop sweating the early levels - what was it Dunno said - scores don't matter until age 16/L 9/10.....
She will learn the form and consistency with time. If she's at a good gym she will be encouraged to enjoy being JUST WHERE SHE IS - whatever level that is. camps/privates are all great for specific issues/skills/fears...but form simply takes repetition and corrections...which you mention she still has trouble understanding..which is age appropriate.
It was hard the season DD didn't make it to states with her friends - but she wasn't ready - end of story. We celebrated for them.
She worked hard and had fun and made it the next season. She chose not to move up with a couple of friends this year and has spent the meet season sort of happy about that (tons of medals) and sort of not sure....now not talking about how states meet will go , but about how she's a L8 next week...I can watch the meets now, but stopped watching practices. My job is meet hair, double checking that the meet bag is properly packed, feeding the beast and figuring out where we go for post-meet dinner....It does still kill me a little inside when she is a bit disappointed with scores that she never would have dreamed of achieving a year ago...but I do know that as they go along the goals only get higher and harder to achieve...
If she had been allowed to feel defeated by not making states that first season, or not moving to L6 that fall, or any other road block, well, she certainly wouldn't have made it through back handsprings on beam, giants, etc...and have no chance with all the hard stuff she'll be doing in the next few years if she sticks with it...
For your young one, if she likes doing gymnastics, loves the practices, then just do whatever you need to take all the competition pressure out of it for 6-12 months - that's my advice - she may lose interest, but she also may surprise you all....the road from a low score on vault old L5 to 6 place states optionals in the youngest age group was only 2 years for dd (11 now)....your dd path may be slower or faster even - but its not determined at all by how she did at L2!!!
Plan a nice dinner after the last meet, find a couple things she can be really proud of for this season and help her set her own goals...she's young and only 5 girls every 4 years go to the Olymipics - lots of other stuff to gain in this sport!