IMO....adding 2 cycle oil or lubricant to the gasoline will likely csuse a detonation problem as 2 cycle oil will lower the flash point of the combustion process. Two cycle engines have typically significantly lower compression ratios, eliminating or drastically reducing the probably of detonation. In addition because of the loop scavenging type of induction system, a high percentage of exhaust gas is present, further reducing the probability of detonation. Octane increasing additives are a panacea especially the ones containing manganese and their derivatives which are death to spark plugs. If you feel a higher octane fuel is needed, 100 octane LL aviation gas (L-L = low lead) added at ~ 15%-20% concentration is said to work wonders for improving performance....but AVOID mixing any oil, including ATF, to the gasoline. Consult with API (American Petroleum Institute) for further information.
Tetraethyl lead was added to gasoline to increase the octane of the fuel, which, during the combustion process, breaks down to add Hydrocarbons to increase the octane leaving lead as a byproduct.
Tetraethyl lead, abbreviated TEL, is an organolead compound with the formula (CH₃CH₂)₄Pb. It is a petro-fuel additive, first being mixed with gasoline beginning in the 1920s as a patented octane rating booster that allowed engine compression to be raised substantially. When eliminated in 1975 because of the catalytic converter, exhaust valve seats were hardened to reduce wear as the lead in the fuel was said to "lubricate" the valve seat. Oil in the gasoline after being combusted furnishes ZERO lubricating value. Gasoline octane is increased by blending a compound known as an alkalate (derived from other petroleum products such as iso-butenes and propene) into the base fuel mixture to increase the final octane level. But....if you want to add 2 cycle oil to your gasoline.....what ever floats your boat....
Just my opinion of course.
BOB RENTON