I didn't repeat anything you said, you said it uses 5-6gb ram at 4k, which your saying is 4gb isnt enough for 4k . Which is incorrect. Very high only uses 3gb of vram. Although your statement can be true, but the idea you're trying to put out that 4gb vram isnt enough for 4k is incorrect.
Which from your specs it doesn't look like you're anywhere capable of running 4k or have 4k so you wouldn't know anyway
1 970 or 1 980 can handle 4k.
SLI those and you can handle ultra HD maxed out in most games.
Shadow of Mordor ran above 45fps on the ultra and barely reached 3.5gb vram.