Some say that with a new engine, you should load it up and floor it and take between idle and redline as much as possible in the first 100 miles or so (after it warms up of course, that is never ignored break in or otherwise). This puts the greatest possible pressures on the rings while the crosshatch is still fresh and sharp, allowing a limited window of opportunity for the rings to file themselves to seal against the cylinder walls before the crosshatch fades. Esp. with moly rings.
This is likely where "vary the speed, don't keep it in one place" comes from as in order to rev against a load you have to slow it down first so you can then step on it to bring it back up again. Cruising at one RPM doesn't present a load to the engine like having to climb to that RPM in the first place does, and once you climb up there and can't go any further, all you can do is let it drop then do it again. Hence the 'vary the speed' principle so that you are always climbing the revs and exposing the engine to load as much as possible.