Spoke to tech support at Mobil 1 this morning. He couldn't tell me the type, said it is proprietary info. But he said the V twin 20w50 they make is specifically for air cooled four strokes. It has a much higher percentage of zinc in it than their 15w50, which has much less zinc and is considered an auto oil. Their 5w40 racing motorcycle oil is formulated for Japanese water cooled engines, which maintain a more constant temp.
So for now, I'll stick with the V-twin Mobil 1 and do some more digging into Redline, Liqui Moly and some of the others.
In the end, I agree with Pete's point. Put some oil in it. Simple, but true.