In testing CoD AW he's testing a game that will fill the V-Ram at almost any settings and res, not because it needs to, but simply because it's there.
It goes up to 4GB right away at 1080P and just sits there, no stuttering even though it's seemingly on the limit, BF4 to a much more limited extent also does this.
As far as i know No One has reported problems with CoD AW or BF4, the reason is the memory it's filling is just for cache.
The problem only happens when the GPU actually needs that VRam to render, which is why it's only in some games and situations.
It looks like they are pandering to Nvidia who did the same thing with the examples they published in claiming there is only a 3% difference and smooth as always, it's almost a copy and paste