Hey Ravaillac...do you find that those fine Japanese stones wear down relatively quickly?
At the fish processing plant I worked at we used a lot of Japanese stones....very fine and a muddy red in colour. They did a great job, but I reckon they wore down pretty fast. Mind you, they were being used continuously to sharpen fillet and trimming knives. They would use both sides, and the stone would get very thin in the middle and eventually break. Naturally I would 'rescue' the broken stones and bring them home.
When stones aren't hard and flat, I tend to 'drag' my blade back over them. If I pushed the edge into the stone, it might dig in to the soft or uneven surface and get damaged.
I have a round ceramic stone that I carry with me on the trapline. It is so fine that it appears to hardly remove any metal at all. I guess it works a bit like a sharpening steel.