Nice Idea; however, for this to work, group A and Group can not be competing with each other. Now they have teams alternating, so Group A is Level 1 and group B is level 2, etc. I believe this is already commonly done. But to have Level 1 split in a group A and Group B, I believe would be very unfair.
The reason I am saying this, is because at the end of the day, Judging is very subjective, as indicated in the "overall impression" score. So spliting the levels will cause commotion, because an individual judging Group A might love Rock and Roll and a judge in group B might like old school music, or may favor one body position in the air vs another one, even though they are at the same score level.... the overall impression score will not be the same coming from two different individuals.
Also, personally think I never want to go first.....nor do I want to be at towards the end. Towards the end of a session, everything starts to look the same and boring, even the great prymid that team B did in the beginning that was so excited and new, is now old and boring because 5-6 other teams have done the same or similar one since then and even if Team B has a much better execution, they may get a lower score just because the judge is now bored with seeing the same thing over and over......I get to the point that I will say if I see that stunt one more time I will kill myself, or even the music starts to get repetative and I say the same thing with that song that is in every other routine......
I AM NOT A JUDGE! But have been in the sport for several years now and I believe that this is just a relastic view and naturally how human beings are, for the most part.