I think Cliff's point is that an edge is metal, and metallurgy doesn't change. So what happens in use is that the edge gets either misaligned, fractured, or simply worn away and what a strop does (with compound) is to mostly move metal back into place when you have a roll/alignment issue, or even wear it can burnish the apex. Moving metal around like this, bending it back and forth, leads to weakened metal at the apex and thus a loss of edge retention. I have heard him use the paper clip analogy, when you bend it back and forth it will eventually break at the bend because of the weakened metal there.
A side note to consider in choppers and even in sharpening properly is that fracturing/damage can go below the apex into the actual edge itself, and when a strop re-aligns the edge it doesn't "de-stress" the edge by removing the fatigued metal for a fresh/strong edge.
Also the way most people use a strop doesn't necessarily help matters w/ a ton of metal loaded up in the strop vs. fresh abrasives on a fresh strop.
I don't know if Cliff has documented this in wear testing but I believe he has I just can't find it atm.
_________________
As far as damage below the apex... Todd notes
here,
It is important to remove this large burr with edge-leading strokes as the steel near the base off the burr will be damaged from the burr flipping side to side.
Also Clay Allison demonstrates damage below the apex
here,