My first stone was the Norton 4K/8K and I did everything with it. I think I added the Kitayama next and then the Coticule so for quite a while the Coticule was THE finisher for me and I still like the edges I get off it though I use my Escher more these days. So I see no reason why you can't get the result you want assuming of course the Coticule you have cuts the mustard.