I am not an expert on using slurry but if Bart's findings with the coticule are any indication of what to expect then a hone used with a thick slurry will be an aggressive cutter. Diluting to a thinner slurry as honing progresses will refine the edge until finally getting to water only will be effective for finishing to a fine edge.

Following that technique with the coticule has been effective IME. I don't see why it wouldn't apply to the Kitiyama 12k although it is a different abrasive and binder. I have no experience with J-nats unfortunately.