Gallarian :
To summarise your reply and to quote myself: "It seems it CAN help, but doesn't always."
The OP has a mid-to high end system with a single 970, hardly SLI 980ti.
For example; if it came down to £40 on 8 more GBs of RAM, or £40 on a good CPU cooler that could enable a good overclock, or combine with another saving to go from a 960 to a 970, I know which one I'd chose.
Again, if youve got the money, then sure why not. But right now, if your trying to keep within a budget, there are other things worth considering.
Using that logic i might say "I can sometimes safely cross the street w/o looking both ways and not always get killed". True but hardly something I'd want to rely on.
It might and it might not matter but the simple fact is there's no way to be more exact w/o OP providing more information. I don't know what game series he plays, what his planned upgrades are or how else he might use his PC. If for example, he plans to record his gaming sessions and edit those videos then 16 GB is an immediate "no brainer".
He can certainly play most of today's games w/o issue but it is just as certain that the games of Xmas 2017 will be impacted. This decision can not be made in a vacuum... if there is a reasonable possibility that he will be in a position where he will want to add a 2nd 2 x 4GB 2 years down the line; **then** I would strongly urge to invest now rather than later as matching two different sets is oft problematic.
Yes, "if it came down to £40 on 8 more GBs of RAM, or £40 on a good CPU cooler" I might agree but he already has chosen a CPU cooler which should get him 4.5 or even 4.6 Ghz and I don't know that he wants to go any higher.
Yes, "if it came down to go[ing] from a 960 to a 970", I might agree but the reality is he already has a 970.
It also, in fact, doesn't come down to £40 as the difference in cost is not that much. And as we've seen no mention of budget, I wouldn't want to limit the discussion in any way until OP makes an inference in that regard.
Simply put, we can readily show from the above THG link that 8GB was deemed enough for gaming in 2010. But we are now talking a system that will likely be in use from 2016 thru 2020. Are there any other system components from 6 ears ago (CPus, GPus, storage) that you'd say will also be fine in 2020 ? . Lets look again at what THG said way back in 2010.
Other than this, you might want more RAM so the graphics card can allocate more system memory for its own use. We saw this pay dividends in GTA IV, for example. You won't see an overwhelming performance increase unless you're using very memory-hungry programs, but you will get a system with enough RAM for the foreseeable future.
Back in 2010, most GFX cards had 1 GB, now everyone likes to claim 4 GB isn't enough, a four-fold increase. And as they also said in 2010 adding more RAM now "allows enough RAM for the foreseeable future". With an expected usage life of 4 years, I am certain that 8GB will be lacking foor all one's needs come 2020.
We have done only 1 user build in the last 2 years with 8GB, and that was with 2x4GB of DDR3-2400 CAS 10 ... it was just $5 more than DDR3-1600 CAS 9. In the last 2 years we have noticed that more and more users come in having done their homework. Four outta five want SLI or CF and the one that doesn't wants an SLI / CF capable MoBo / PSU. Other than the one build above, (office build for Quickbooks, light gaming ... mostly web based... on off hours). She didn't even want a GFX card but I threw one in that I had lying around.