Ok, so if I am hearing you correctly, you are concerned that by learning the different level skill sets back to back will be somewhat confusing for her all in one year. I can see where the stress or anxiety is coming from because of what the HC had planned for her which is "to score out of level 5 this spring and then score out of level 6 next fall so she'd be level 7 by this time next year." WOW--that's a lot of planning, pressure and some pretty high expectations for a 7 year old--even if she is highly talented.
Anyway, is there a reason why you want her to be a Level 7 by this time next year? I can understand why you may not want to pay for 2 seasons of Level 5
IF she is not learning anything new and she is so bored that her motivation is affected, but I guess I am a little confused on why you are stressing the importance of her following this "plan" like it will make or break her gymnastics career??
IDK--it just sounds like a lot of unnecessary stress to put on a little 7 year old.