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...