I am a mechanic of sorts and am still getting used to 2 cycle.
It would seem that 2 cycle engins have more in common with steam engins than 4 cycle engins.
It seemed that Honda went to lots of trouble to move so little oil.
I took the pump apart and based on the mechinism, it's only designed to deliver the smallest amout of oil. It looked like the "Mouse Trap" kinda way to get around premixing.