I'm going to bite on this. I think the concept is intriguing, but the logistics would make it highly unlikely.
I see three ways of accomplishing what you suggest, and they each come with their own set of difficulties.
SKILLS TAPING
This was actually done in the past.
@ScottyB may be one of the few people who is regularly posting here who has participated, though I haven't decided if he's that old. Anyone who has actually done skills taping for college nationals would tell you that it was days, weeks and sometimes a month of pure hell. Coaches would shoot and re-shoot the same skills over and over until they were absolutely perfect in an attempt to get a paid bid to college nationals. Most of the teams could not consistently perform the skills they were being asked to perform, but they could managed to get one or two "sellable" takes on the video. I feel that if doing this in order to be placed into levels as you suggest, the same thing would occur. I can hear coaches now saying: "we're GOING TO GET LEVEL 5 THIS YEAR!" while having their team go for take 472 of whatever skill of which they were working to get a great video. Prior to doing away with this completely, UCA had already put a shorter time limit on the tapes, and limited teams to just shooting skills with the number of people who were allowed to be on the floor (it had become common practice to throw 6 or 7 baskets and do 3 or 4 pyramids for teams with huge talent pools). I will admit that I miss being able to hit Youtube on the day after the deadline and watching some of these.
PRE-COMPETITION PLACEMENT
This would almost invariably require teams to have someone come out to their practice area for a few days, watch them work on skills and make an assessment. I think the logistics of having this done would be a nightmare. I also think that if you did this too early in the season, you'd probably lose some of them before they ever really got started. If the idea is to promote participation, then you don't want to shoot them out of the sky just after takeoff. If you did it too late in the season, you might have months of the coach doing a "live assessment" version of the multiple takes for skills taping.
AT COMPETITION PLACEMENT
I can't imagine being a coach, showing up to competition, and then finding out what division I would be competing in. I've seen some coaches have high speed comeaparts over whether a tumbling mishap was a "Minor" or "major" infraction. The difference is 0.25....which is a difference maker at times, but come on, you already admitted she didn't finish the skill. If you're not clean, you didn't earn it. Anything they give you at that point is a gift. I can only imagine the backlash of a team performing and then being placed in a division lower or higher than the coach wanted them to be in, causing them to do well in a division that he/she views as being inferior or do very poorly in a more elite division. It also takes away from the strategizing. Even at high school nationals, where teams bounce from division to division yearly based on participation numbers. I spent time this morning discussing with our choreographer the risks/benefits of medium versus large varsity. Having that information in mind as we go into choreography in a few weeks allows us to not only emphasize the skills on the team; but do so in a way specific to what is typical of those two divisions and the amount of time we have.