I agree with gordon on this, and will add the following:
I have used Redline synthetic for 500+ miles (I previously mistyped 1500 miles, but if you don't know what I'm talking about, ignore it). Since then I flooded the crankcase with gas (forgot to close petcock) and put Royal Purple synthetic in. Both were 20w50, none motorcycle specific. Nothing evil has happened yet, but rest assured I will post something as soon as my engine implodes into a supernova. I will also take donations for wheelchairs at that point.
BTW, people always say that synthetic causes wet clutches to slip. How would that present itself? I mean, would the bike rev up and not move even when the clutch handle is not pulled, or would it scratch into gear when I pull the lever? That is, would it seem like the lever would pull itself at random, or would it seem that the lever won't pull at all? Answer me that and I'll waive the wheelchair donation bit.
André