I don't know about the claims of work hardening, nor did I ever experience anything that made me believe them, and not for lack of testing with my own machine grinding and sharpening.
In my opinion, H1 (and presumably H2) is a fantastic steel because it is rustproof, and because it is tough. Those who know me already are aware that I value toughness, because it allows thin geometry with stable edges, and as we all know, geometry cuts.
I like a knife that I can strop back to life on the edge of a piece of cardboard. I can do that with 8Cr13MoV, I can do it with AEB-L, 15N20, 8670, a bunch of others, and guess what, I can do it with H1 also.
Now combine that with custom knife geometry and all of a sudden you have a blade that, despite not having gained any additional wear resistance, now possesses far superior cutting longevity, and ease of resharpening, due to less material at the shoulders to be removed, which also means it takes longer before the increasing edge thickness over multiple sharpenings requires aggressive reprofiling.
Sold both of these years ago, as you can see it was before I had a "regrind" maker's mark.