With the multiplier I say give it a shot and see what happens. I do like the idea in concept as it won't automatically assume every sport in every private school is highly focused on building a power program. My question would be if a private school dominates class 2 and then also dominates class 3 do they then move up to 4? The multiplier always seemed ineffective at addressing schools that really exploit their advantages.
On the public classification the intention seems logical but until we see it who knows. A couple years ago I found only one football classification (Class 2) where the largest was more than double the size of the smallest. Class 4 which is often cited as having too big a difference was only something like 1.8 so the new system wouldn't change it, in fact it might make it worse in the interest of balancing class 2. And Missouri in general had more levelized classes than our neighbors except for Illinois which has more classes, a steeper multiplyer for privates plus a success modifier that applies to everyone.
The new system makes the assumption that the ratio between the largest and the smallest is the only factor, not the actual quantity difference of the potential talent pool. So a 220 student school isn't equipped to face a 450 student school. But an 1100 student school should have no disavantage vs a 2100 student school. Not sure I buy that.
I always say that any system will have it's flaws. But I'm never opposed to mixing it up and trying different things.