I'm assuming you're just trolling for the sake of trolling.. which is not cool.
But it's not about FPS performance, everyone knows that. Higher video ram (if the game needs to use it) results in less hitching/stalling/delays when loading new areas/etc and in general leads to a smoother gaming performance.
I only have a 4GB card, but I have a rather short list here of games that use at least that much.. (they want more but I don't know how much more).. even at 1080p @ DX-11.
Project C.A.R.S., GTA-V, BF4, Ark: Survival Evolved. And everyone already knows 6GB minimum for Shadows of Mordor ultra pack, the developers actually specify that as a requirement for the ultra pack.
All these titles slam my card right at flat 4GB / 4GB the entire time playing.
I've almost considered switching from a GTX 770 a 1st gen Titan used (if they come cheap used) instead of 900 series.. just for video ram.
If people are after a smooth 60 FPS -constantly- with no stutters, dips or drops @ 1080p.
Mind you.. all this "high vram usage" and everything is with the game's settings 100% maxed out, every single possible last setting turned on to max.
So yes, everyone in to "butter-smooth gaming" on PC, even at 1080p, pays attention to video ram usage. FPS isn't different but the experience sure is.
https://www.youtube.com/watch?v=rmsfw9GnWUY#t=8m4s
See here, Jayz2centz talks about video ram and it actually has -quite a big impact- on DirectX-12 performance. See his discussion and results and after thoughts.