Over here the brass rods (or traditionally rings) are used by the knife makers to test if the edge deforms (Nagelgaengig).
This is purely a test of hardness harder materials will do better on this test.
"a high HRC is not an attribute of strength." This is simply not true HRC is definitionally a measure of strength and is correlated with yield strength. In order for an edge to "crumble", The yield strength of the material must be exceeded. So increasing that strength will increase the force required to "crumble the edge". In fact, my observation from sharpening many cheaper stainless knives(56 or so RC) is that the dominant form of wear is chipping and not rolling as you might expect.
"Roman Landes defines edge stability a bit differently, he includes chipping (crumbling hahaha) on a microscopic level, purity, and carbide size.."
Yes, I have read through his work but even with his definition hardness seems to have had by far the largest effect on his data set. I certainly think it's possible that those could affect edge stability beyond their contribution to hardness but I wouldn't say that had been conclusively shown.
Basically, any way you cut the cake hardness is either the only factor in edge stability or the most prominent factor in edge stability. Hardness controls whether a given amount of force will damage an edge. Toughness controls what that damage will look like. All of this talk of carbide size etc etc at least in theory is already baked in. Carbides affect both hardness and toughness.\
Again it isn't the only factor but with a proper understanding of the concepts, hardness is a useful way to compare the material properties of two steel despite their other differences.