I don't think so. Sure, early on we see a framerate increase, but that's because towards the end of a generation, devs start to load up on effects and drop the framerate. Next gen with current-gen games running on new hardware, framerates will pick up, but they'll drop again as the hardware gets used differently. That's also pretty obvious from the history of consoles - if consoles offered better framerate each gen, we'd have 15 fps on PS1, 30 fps on PS2, we'd be on 60 fps on PS3 and looking at 120 fps on PS4.
Framerate has always been either 60 fps or 30, with different decrease of instability. Last gen had a full range of a framerates and stabilities, same as this. New hardware doesn't usher in a new period higher and more stable framerates, and I question any console owner running out to buy a new machine because it'll offer better framerates. We've had 60fps since SNES.