No, the Sigma power 6k is perhaps too durable and hard to do much more than it currently does. In talking this over with Chris, I think we would have to start with a stone that's more friable--with a good binder--to even approximate what you've described. But then, stones with weak binders or that are too friable won't achieve those results either.
Theoretically, place a well prepped blade with small serrations on a stone that more quickly breaks down (like a Suehiro Rika 5K) and then work the slurry from soupy to thick mud, then wipe the stone clean, leave it dry, and make a few last pulls--in this case the grit and binder have broken down to polishing by the time the soup is paste-like, and the stone face is at it's most refined level (which is perhaps much more than 5k, closer to 8k). A few pulls on that moist surface should impart a much better edge than with the slurry since the slurry has potentially varying sizes of grit plus swarf in it. Hence, the better stones probably are too durable to ever simulate what you describe (Shaptons, Sigmas, Choseras, Gesshins, ?) while the older mud binders are perhaps too soft, renewing too much grit to ever find that middle ground of transforming grit into polishing powder. Sounds to me like we've discovered why people follow their high grit stones with the 8k Kitayama, it's the less cutting more polishing stone.
Please, those with experience and knowledge--speak up and address the errors in my thoughts!!! Gotta learn it sometime
Archie
near NOLA