16GB of DDR4 isn't going to give you any more FPS than 16GB of DDR3, depending on the DRAM speed and CPU in use.
DDR3 2133mhz for example, with a 4790k for example, is probably going to give you very similar performance as a 6700k, even if you have DDR4 3000mhz sticks.
Memory speed isn't a major factor in gaming performance. Memory capacity on the other hand, so long as we're comparing having 16GB to only having 8GB, IF it is a title that can push your memory requirements past 8GB when the OS and other programs are factored in, might. It depends. Again, not every game is the same.
But simply having faster memory will at some point become a non-factor or at least have a minimal impact, for the majority of games UNLESS they also are highly CPU dependent, which is what I already said. For games that are not highly CPU dependent, memory performance is not going to matter all that much so long as you have enough capacity.
The motherboard itself, while it DOES have SOME impact on various types of performance, is probably also not going to be much of a factor when it comes to changes in pure FPS performance unless we're talking about the difference between running a high end CPU on a low quality motherboard versus a high quality model with a good VRM power delivery system. And even then, again, it's probably going to depend mostly on what game it is, and whether it's CPU bound or not.
Boards can definitely see some impact on GPU card performance on different boards, so that does exist, but it's usually not a huge variable. Still, I won't argue that the board itself can be a factor but a high end board from a pre-DDR4 platform will likely perform just as well on GPU bound titles as a high end board on DDR4 platforms.
Storage is one of the biggest places where that is going to be a factor and aside from map, level, texture and save loading times, that isn't going to have much impact on gaming either. Fast storage doesn't generally impact FPS much if at all.