Where going lean can be a problem is at extended full throttle. The problem is overheating due to the sudden lack of evaporative cooling from the fuel. Vaporizing some of the fuel takes a significant amount of heat energy, cooling the engine. For an engine to seize from going lean it has to be hot and tuned pretty tight. LIke you would with a two stroke racing motorcycle.
This is true.
To add,
Speaking from a marine motor 2 stroke perspective,
My 2 strokes would get fogged for the winter season, otherwise run them once a month so the internals keep a coat of fresh oil on them. When the oil (synthetic is an improve) drains off the internals (pooling over time), then metal to metal is the result when starting, that's very heavy wear and tear on a 2 stroke.
Proper use of fogging oil is to spray directly in the carb while engine is running (no load), as it sputters remove fuel line while still spraying fog and run until it dies. The point is to get the fogging oil (very sticky or tacky) on all inside surfaces for a sufficient coat of protection through the winter months, nothing goes lean, very healthy for your 2 stroke. Marine motors are like unicorns when compared to saws and such, they are very expensive to operate, repair, and make mistakes, this is usually manufacturer recommends. I found an article on West Marines sight for this,
the link,
Winterizing Your Outboard Motor | West Marine
"Fogging the Engine
When the tank is nearly empty, begin spraying fogging oil into the carburetor. This will usually cause lower-horsepower engines to stall, while higher horsepower engines may cough and sputter, but continue running while emitting white smoke. Spray a good amount of fogging oil through the intake and then disconnect the fuel line from the engine, and continue spraying fogging oil into the engine until the engine dies. Usually the engine will run rough and emit white smoke just before it dies.
Giving it a good dose of fogging oil will apply an anticorrosive coating to the interior surfaces of the cylinders. Letting the engine run out of fuel burns up all of the fuel from the carburetors, preventing the formation of varnish deposits from evaporating gasoline. If you have an EFI engine, the process is a little different. Put an ounce of 2-cycle outboard engine oil in the fuel-water separator, and then run the engine briefly to coat the internal components.
You can also fog the engine, if you閾エe completely emptied your fuel system, by individually removing each spark plug, spraying fogging oil into each hole, and then rotating the prop by hand (with the engine in gear) to spread the oil around the cylinders. Since you豎*e removing the plugs, now is a good time to check their condition, re-gap them and replace if necessary."
Of course cater this to the small engine in question, the principle is sound and done every year on motors worth thousands of dollars.
The fuel that is E-free and full of fresh fuel stabilizer is fine for the tank, but lines and carb should be empty as good practice, and with the fogging oil process, going lean is not a thing.
