Higher Octane means slower burninig, and 100 Octane means real slow burning. [/Quote]
Octane rating is not "how fast it burns" it is its ability to resist burning. (a flame front under compression and combustion chamber pressures are very close to identical with 80 octane or 100 octane) Controlling the flame front is important in any engine, higher combustion pressures create unstable environments for fuel burn.
Octane rating has no direct impact on the deflagration (burn) of the air/fuel mixture in the combustion chamber
The BIG difference in avgas and racing fuel or other high octane fuels is the volatility. (rate an liquid will evaporate)
If you take a cup of 100 octane avgas and a cup of 100 octane racing fuel, the avgas will evaporate completely before the regular racing fuel even starts to think about it.
the reason for this volatility is that when an airplane is initially started, raw fuel is forcibly pumped into the engine (priming). This fuel often runs out the exaust side of the motor, out the exaust pipe and onto the cowling or other airplane air frame parts. This as you can imagine creates something of a fire hazard. You can easily tell which avgas you have by the color.
The most common color is blue, (100 octane low lead) The key here is the "lead" lead provides superior lubrication to the valve train and so is allowed in aircraft. An easy check to see if you have av-gas is check the color (blue or green are most common) and dip your finger in it. By the time you can get it to your nose to smell it, it should be about completely evaporated from your finger.
Anyway, with av-gas, this "puddled" fuel evaporates at an incredible rate and reduces the likelihood that you are going to burn your airplane to the ground in the hanger.
Some aircraft can be certified to run on "regular" gasoline but this puddling issue has to be addressed and proven to be solved. Even so, some are still required to use av-gas for start up and ground operations. They switch over to "pump gas" only after getting off the ground.
I personally like av-gas over racing fuel as it tends to allow easier engine starts (volatility benefit) and the lead content is easier on the valve train. It is however illegal to use aircraft fuel in a car (lead). This never stopped us from filling up our boats with the stuff .
Here is one of the boats I ran on avgas before going to methanol