You probably will need to run a hotter plug and it will smoke a bit, but other than that, it should be fine.
I can't think of any situation where the additional lubrication would be an advantage other than perhaps keeping the steel fuel tank from rusting or intake valves from sticking.
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Using fuel stabilizer is the most important need for today's gasoline fuel because it will turn into varnish and plug up carburetors if they sit for not to long of a time.
Pony motors do not use much fuel and many time the gas gets old and this is the biggest problem in small motors today, because of the ethanol they add to the gas.
Even if the fuel tank seams ok the carburetor only holds a very small amount of gas and it will go bad in a few months.
Good fuel stabilizer will keep gas good for about a year.
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