They dont. For starters the additive treat rates are mostly very low and off the 5 or so refiners add they are mostly corrosion inhibitors and anti oxidents. And this is done to keep refinery equipment from having issues.I think the additives in the gas have a larger impact than whether an oil is FB or FD rated.
But that's just me...
Some station brands like Chevron will add some additional detergent additives to their gas, but they don't do a whole lot. Universally pump fuel in this country is low in quality. And many stations add nothing.
Whet it comes to deposits in a two stroke fresh gas is important, quality oil of the right type is important and proper tuning is important.