ER, you hit it on the nose with that read. They are both fantastic and very, very different. I have a hunch the sharpener responsible for the B2 is the same as the Fujiyama sharpener (though I'm also sure the smiths are different) and the W2 Honyaki should probably resemble the W2 laser....
The W2 is basically a Honyaki laser. Insanely thin. It can take an improbably acute edge angle without getting chippy. I really couldn't believe it actually. Measured the angle OOTB at around 12.5 deg per. Had to put a micro bevel as it would literally stick to any surface I tried to cut on.
The B2 is not as thin overall or behind the edge as most of my Fujiyamas (though similar, but not identical, in many respects tot he grind and finish on the Togo Reigo I recently bought), or even close to the W2, but the grind has really resonated with me as I get to know the knife. It's definitely more demanding on the stones than my other Konosukes for what it's worth.