I agree, it has to be the right oil or the clutch will drag or the gears will be notchy.
I'm using Motul full synthetic 2-t gearbox oil. If I drop the bike and it stalls, I can pick it up an kick with the clutch pulled in and in gear. Gear changes are very smooth and precise. Maxima semi-synth had nice gear action but the clutch dragged a lot. Maybe Maxima full-synth could work too. Shell motorcycle semi- and full synthetic have harsh gear notchiness both in this bike and in my previous Yammies.
Try it out and see what happens. If the cluch starts to slip under a load in high gear, you'll know you have an auto-oil with friction modifiers.
Good luck