Are certain types of hones better or worse for honing different types of blade steel?

For example, I have 2 razors - (1) Dovo Special made with carbon steel, and (2) Dovo En Vogue made with cold tempered stainless steel. I have 4 Norton stones (220, 1000, 4000, 8000) as well as Belgian Blue Stone and a coticule. Honing the carbon steel blade on any of my hones is significantly different (to me) than honing the stainless steel blade. I hone primarily with my Norton stones.

Would a different type of hone, such as DMT or Shapton be better honing cold tempered stainless steel? My impression of DMT or Shapton hones (I've never used either, impression generated by reading about them) is that they are a bit harder than Norton hones or even Naniwa hones.

Thoughts please?