....the higher the octane the cleaner the burn the cooler the burn and the better the rev range
This may work with certain fuels, but just because a fuel has a high octane number doesn't automatically make it burn cleaner/cooler/anything else - Octane rating quantifies how well a fuel resists detonation and SFA else. People talk about octane rating numbers like they're the only aspect of a fuel that matters, but this is not the case - sadly, reality is far more complex.
They banned AvGas from rally cars a few years ago, and amongst all the groaning and bitching, some people decompressed their engines and got them tuned properly to run on 98 octane pump fuel. In every case, the cars made more power and had better throttle response than they did on AvGas (remember that we're talking 4-strokes there, so not a true apples-with-apples comparision with a 2-stroke dirt bike).
AvGas burns slowly, and has marginally less energy/gram than 98 octane pump fuels. The slow burn is basically the trade-off that you have to make for the excellent detonation resistance.
So unless you bump up the compression and (probably) screw in some more ignition advance, then it's basically a waste of money - in my bikes, I found that it made them flat off the bottom, flat in the midrange, and flat in the top end... Never pinged though!
Oh, and I'm told that the 81 CR250 is a peaky bugger "like a big 125"... Maybe the 82s are just like that too?