Nick,
Yes, you can run the good stuff and it won't hurt a thing. I have a bunch of 2-strokes - both in outboard and motorcycle configuration. Never believe that hype about reduction of ratio. At ratios of 25~50 :1 (depending on engine), there is so little oil to cushion the crank bearings, the big and little end bearings, and the rings - don't mess around trying to cut-back of ratio. More is better.
Oils in a 4 stroke see hard, severe service. They are exposed to high temps inside the cylinder walls and valve train for thousands of miles - 2-stroke oil is inside doing it's job for 1/84th of a second at high rpm - in and out that quick. The transmission is a completely seperate reservoir and requires a different lube altogether. The only real advantage I get out of synthetic is less smoke and it leaves less varnish behind during that combustion. I do use it, but not for the incorrect claim of being able to reduce useage. Think about a 50:1 dilution and 1/84th of a second - how can you do with less? Yes, there are engines that do use less, but that is typically where you have water cooling.
Run 2-cycle oil made for air-cooled engines (not TC-W) of any kind you want, but don't change the manufacture's ratio. That ratio does have a margin of safety - sure, but it's there because of the needle bearings and surface areas that rely solely on the small traces of oil in the feul/air charge. Also, leave the injection system in-place. Premix has two problems - First you have to mis it for the worst-case conditions (excess oil at mid/light loads) and Second when you close/shut the throttle - there is "no fuel" coming into the engine right? - you guessed it - no oil either. It only works well for race applications where the throttle is normally "pinned" the entire time - not for street riding. The oil injection systems, even back in the 60's and 70's were tied to the throttle cable - adjusting metering between 20:1 at full load to 100:1 at 1/4 throttle.
Hope I've helped.
Regards,
Gordon