"Mineral oil" usually refers to a non-detergent oil that some use during an engine's break-in period. In this context, Mr. Busch may be referring to any oil that is not synthetic or partly synthetic.
The small Continental engine "guru" that built my C90-8 engine recommended using straight grade detergent oil and CamGuard after break-in and I have been happy with that combination in the 800 hours I have run it.
I wouldn't use CamGuard in an engine with new cylinders on it until the piston rings have seated. It lubricates well enough that the rings would take a long time to seat. You will know that the rings have seated when initial oil consumption goes down.
Neal, I don't have the technical knowledge on which to base an opinion on Aeroshell or Phillips oils. I will say that a slight majority of the mechanics I know recommend Phillips 20W50 after the break-in period.