Maybe in a Cross-Fire config. The way VRAM works is that your cpu fills your VRAM up with textures, lightening etc. then your GPU has to process all of those in VRAM almost instantaneously, then it's rinse and repeat. A 390 or a 970 couldn't process 8GB of this information, my card probably couldn't hence it is 6GB.
The PS4 for example has beautiful graphics for a console yet it will use no more than 3GB of VRAM, and that VRAM is shared system memory, so no where near as fast as the fastest VRAM in this price range, which is the 970 @ around 7000mhz.
EDIT: Correction: The PS4 has DDR 5 system RAM lol that's faster than we get! Still shared graphics cards, or modules are not as effective as dedicated ones.
Move along mate..The OP has bought the better card.