All the "pictures" that we can come up here are conjecture to some degree. I think to really resolve this, we would video tape sharpening under a microscope, but my view is similar to Yuzuha's. I would think that a burr will trap more abrasive underneath than a clean edge. Its like having sand in your shoe vs dragging your toe through lose sand on the beach. I don't think the edge degradation to the edge, plowing into the mud is that big, but I think it is there and I think that Verhoevens images show it. It is just a matter of how you interpret them and what you are looking for and of course a matter of experimental technique. I think the problem is not nearly as pronounced on hard hones because the mud is well separated from the hone while on the really soft stones, the mud can imbed much more in the hone, so you have a layer that is half mud half hone. But if you look at Verhoevens images, you can notice that the edge leading images show some "dents" in the edge that the trailing edge images do not show. On the other hand, the trailing edge image shows more "fuzzyness" (kind of like a saw tooth pattern) than the leading edge pictures. Verhoevens interpretation is that debris is carried to the edge, but personally I think this is more due to the fact that the leading edge runs into the mud and the "fuzzyness" gets abraded.
But as I said, I don't think there is enough experimental evidence to know for sure and I thing either way of looking at it is resonable. As I said, I think we can know only for sure once we see some video that actually shows the abrasion process.