Watching the video it seems a lot of prediction of Ellie, Enemy and environment on top of tons of coverage for the key components of the fight. Probably helps that weapons are limited, environment is always relatively close and you can focus on the key aspects. He mentioned the crouching, dodging and moving under objects, which would make it logical to cover these with a lot of coverage in movement and prediction.
They way he talks about the fighting makes it seem like Ellie and the Enemy "dance" when he mentions motion prediction during the different scenes, which generally makes sense in my opinion as fighting is like a "dance". Same goes for covering smaller things during those predictions to make it seem more natural as humans generally have a lot of movement you don't notice at first glance.
Interesting video for sure. =)