Negative sir. Whether the fuel contains a small amount of oil or none at all the richness air/fuel ratio is unaffected. The volume of fuel vs the volume of air is not changed by whether the fuel has oil in it or not.
Conceptually, if you kept adding oil in the gas to the point where the fuel is no longer a combustible mixture, it wouldn’t burn in the designed cycle. And I suppose the opposite of that is to what you refer, removing oil would make it more combustible, but would not change the air/fuel ratio but would affect the combustion cycle (premature) in ways that have nothing to do with richness or leanness, but rather manipulating the flash point of the fuel. You can not make a four stroke run richer simply by adding oil to the gas, but you CAN lubricate your valves