I normally don't screw with 2strokes, and don't know a whole lot about selecting a 2stroke oil. This evening someone gave me an old MTD Snowflite unit, it seems to be in okay shape, it was just stored for years, I can't tell if it had any gas left in it or someone had filled the fuel system with 100% oil , after draining out the blue-ish green-ish liquid that was in the entire fuel system and blowing the jets out in the carb and putting it back together, I can now hear the diaphragm moving when I hit the primer, the fuel line had seen better days but wasn't absolutely rotten and the diaphragm didn't rot so maybe someone poured 100% oil into the unit to try to preserve it, I dunno, it only had a very hint of the smell of old gas, nothing like what I've seen in 4stroke carbs that have sat, but maybe 2 cycle mix doesn't turn to the waxy nasty mess like straight E10 does, but then again, I dunno, I don't really mess with 2cycle engines.
I know in general air cooled engines should use API TC, and not TC-W3, but I don't know what's a good choice would be.