Well, I don't know about Blizzards, but Mog's and the others don't.
But Pretty soon... MrMo's ABS Ultimate WILL!

Since paperdoll systems only let you have one 'characterset' file per sprite, they don't work when an ABS like Moghunter's, MrMo's or the like switches from the walk pose to the "dash" pose or the "attack" pose. So I needed a workaround. I made a script that let me use just one massive characterset per actor... the characterset holding all my character's actions (attack, defend, etc). Okay, this means it's a big file... like 8 or more characters in one. But the point is... the battlesystem no longer does that annoying 'switch to dash' thing which prevents Visual Equipment from working.

Of course, the second step was to get an actual paperdoll system. Believe it or not, Me™'s system was a near fit, but a lot in there was unnecessary. Removing some excess material, and adding compatability for the Companions in MrMo's system.... I gasped when I found virtually no lag, even in the big war zone in the bottom of the demo. And I almost freaked when I found that only a dozen lines made it work with MultiSlots! Huzzah!