D2 doesn't finish as well on natural or AlOx stones as it does on something like a hardwood strop with diamond compound (3 micron & finer). That's what I've found works the best with D2, for polishing it. I tend to favor going all-diamond in the sequence with it, transitioning to a 3-micron diamond-pasted strop of hardwood, after honing up through 1200 at least (like DMT's EF). At coarser grit, when grinding bevels & such, other coarse stones like AlOx can work OK (and SiC is great for this, with D2 - it eats it for breakfast when hogging off metal). But when looking for mirror polish on D2, a wood strop with diamond compound makes it much easier and keeps the apex much crisper, better able to shape & thin D2's great big carbides at/near the edge. D2 has been known to reveal what's called an 'orange peel' finish when lesser abrasives struggle to polish those big carbides. The finish tends to come out sort of lumpy and/or pitted in appearance (microscopically), when that happens.
And whether there's tearout or chipping going on, I tend to believe that's more a quality issue with the steel itself. D2 has also been known to be very tricky in heat-treating it correctly. At one time, maybe 10 or more years ago, I remember seeing a lot of mention of D2 blades either chipping or breaking, as the 'sweet spot' for heat-treating D2 hadn't been nailed down by many trying to make blades with it.