Well, coticules are very different from one to another. Some stones are producing slurry very easily, others don't (as you saw with yours).

It's not a bad thing having the slurry coming from the slurry stone, and it will indeed help you to use your stone at different steps of the sharpening.

Tough coticules may be good for finishing the job. I would use yours with a soft slurry stone for the begining steps, and with clear water and no slurry at the end of the process.

I think you may lost some of the good properties of your stone if you try to obtain slurry anyway (with a diamond stone for example).