I would think running it without load first would be the best (with the water pump running).The first thing I thought you were asking or comparing to is a HARD break in on a new engine that has metal piston rings.Different topic...sorry...Not like the YH pumps that have rubber Orings.
I received a new YH(clone) a few weeks ago, and it didn't even occurred to me to break it in. In my defense, it came with no directions. Anyways, once I received my Acecare 9L carbon fiber tank, I just went ahead and filled it to 300bar. I suppose that was my compressor's break-in......I suppose, also, that that would be considered a hard break-in