I wouldn't waste time with Arkansas stones on anything more wear-resistant than 440C, which itself is less wear-resistant than D2 and probably less-so than CPM-154. Even if a little refinement is possible at the high end, it'll still take a toll on the stone itself, as the steel's carbides will be roughly 2X or more as hard as the stone's own abrasive grit (novaculite), and the stone will eventually be glazed by the polishing effect of the carbides in the steel. You'll begin to see a glassy 'shine' on the surface of the stone. When that happens, the stone will be even slower to cut most anything, even simpler steels. It kills 'em quick, and they'll need lapping/resurfacing if that happens.
For grinding such steels, I'd rather use a SiC stone or a diamond hone for heavier work. And either that or an aluminum oxide stone, like an India, would also do well for basic upkeep and light resharpening. I know a diamond hone also works very well with D2 at the finishing end.