I am a numbers guy myself. I like to look at numbers and make comparisons. Carbon content. Alloy percentages. All that stuff. I love it. But you can get so wrapped up in stuff that doesn't really matter in the long run. Steel nuts like myself can get wrapped up in a hurry! But in ALL REALITY. Here is how I see it.
White # 1 vs 1095. Same geometry, same heat treat. Most 99.99% of people using the two would NEVER notice the difference. MAYBE someone who is very familiar and has spent a lifetime studying and perfecting heat treats, geometries, sharpening angles, etc. I doubt that tho.
The difference in Hitachi steels, as has been stated, is they are a more pure (less P and S) steel than most others. And in addition, the batches produced by Hitachi are more consistent than most other steels.
What is the carbide of White steel? It is indeed cementite. Iron and carbon carbide. Technically called dual phase, or pro eutectoid, cementite. It is a very small carbide. sub micron. There is some Si, IIRC, in White steel as well, so there will be some Silicone Carbide as well. Again, a very very small carbide.
What is the carbide of 52100? Chromium carbide, mostly. If heat treatment was taken care of properly, another very small carbide. It CAN be a massive large carbide, ala D2, but in 52100 it is small, like cementite.
I have read that the hardness of the vanadium carbides is very close in hardness to tungsten carbides. These are small carbides as well, maybe Bluntcut has those numbers, but not quite as small as cementite maybe.
There is carbide percentage, and carbide size. And it all boils down to those numbers and their relationship with the binding matrix. Get those carbides too big, or too numerous, and edge stability goes out the window.
I think that is why the finest edges are going to be had with a high carbon, low (overall) carbide steel. And I think there simply must be some sort of happy medium with a given steel, given heat treat, given edge geometry, with carbide size/distribution.