I think they sound very alike. I admit I'm not a fan of Wolves in the Throne Room, but this was the first song that came up when I searched them on YouTube and it happens to be pretty similar to the new Abigail Williams. That's just my take.
Wolves in the Throne Room:
2.2 Unpure / Infinitum Obscure / Volahn
2.13 Volahn / The Haunting Presence
4.5 Antaeus / Demoncy / Volahn