The new abishai gear starts with a pretty nice direction, but ultimately none of the items feel like "Raid Gear" they look like saltmarsh items with an abishai set on them. I think this is pretty easily addressed; by colour they're themed already, but they just need a slightly more unique to raid gear feel. Interesting proc effects based on their themes akin to the original pieces would make a large difference. I won't go into each individual item piece I think each item has these issues without exception. The heroic items are fine, but this is a legendary raid so I'm evaluating the gear compared to other legendary loot.
The Abishai Set Bonus; it drops profane damage in favor of some defensive stats which I don't hate but it means that you're never using these on a melee build, losing that flat damage hurts too much. I wonder if the answer here is to provide something like Profane Imbue Dice or Profane Sneak Dice (or Both) rather than being a straight copy of the Dino and Vecna sets.
The legendary items not dropping as legendary in the quest means we can't acquire this gear with boosts, this makes every single piece significantly less viable to end game players, which is a shame because I think with some tweaks this gear could be competitive and see play.