D2 can be about as toothy or as polished as one chooses to make it. It takes a while to get it polished, because of the abundant chromium carbides in the steel. They're pretty hard, but will still polish up nicely using diamond, silicon carbide or aluminum oxide abrasives. I like setting bevels using diamond on this steel, but then I follow that with silicon carbide wet/dry sandpaper, for refining and/or polishing up through 2000 grit or higher. As the edge becomes finer, care needs to be taken to proceed more slowly (lightening pressure), to refine the edge as much as possible without rounding or blunting it. At that slower & lighter pace, the carbides will be a bigger factor, and it can seem like measurable progress comes much more slowly, than with simpler steels. Demands a good bit of patience, in taking it that far, and that was my biggest impression of the steel. But it can definitely get there.
BTW, the first blade in D2 that I re-bevelled (using a DMT diamond in 'Fine' grit) also bit me quite viciously, while working the edge on that diamond hone. This steel can get wickedly sharp at almost any grit level, and that's something that impresses me about it. At finer/polished finishes, it will give up a lot of that 'tooth', but will instead get shaving-sharp with some TLC, and hold that edge a good while.
David
