That's what makes projects like this fun - the unknown.
The oil pump adjustment *should* be simple. You are just setting the pump for maximum flow (the alignment marks on the pump) when at full throttle (or, in this case, at the alignment mark on the carb).
In a perfect world, the amount of travel between closed throttle and full throttle is exactly the same as that of the oil pumps arm fully back and the alignment mark. On my T500, at closed throttle there is a bit of slack at the oil pump, taking about a 1/8 (or so) turn of the throttle before the oil pump arm begins to move. I see this as a non-issue, as the pump delivers oil at all times, even when the arm is all the way back.
It seems that your issue may be that, on the throttle cable end going to the pump, the distance between the cable sleeve and the inner cable end may be too long. This would make adjustment problematic. Causes could be improper adjustment of carburetor (cable adjusted correctly, with proper free play), missing/incorrect/improperly installed throttle and or throttle cable, stretched (unlikely)/ wrong model/bad designed aftermarket cable.
The most important thing is to first confirm that the throttle setup is correct. Check throttle control is assembled correctly, adjust carburetor, confirm correct free play. Then revisit the oil pump adjustment.