The oil is injected through 5 or 6 ports by the crank. That is to lube the bottom end of the engine.
On the polaris engines, the fuel is injected into the transfer port. The fuel is swept up into the combustion chamber during the intake stroke. The oil that is mixed with the fuel is only reaching the combustion chamber.
The oil that is injected through the oil pump reaches all parts that need to be lubricated, crank, wrist pin, bottom of cylinder skirts and piston skirts, then up through the transfer ports and onto the upper end of the piston and cylinder walls.
Extra oil has never hurt a 2 stroke engine. But adding oil to the fuel is only lubing the top end. Its not adding extra oil to the crank.