I'm running a 1700X, which clock-for-clock, in virtually 100% of games, is functionally exactly the same as a 1600. There's just nothing out there that can remotely make use of threads 13 through 16 yet.
I run that with a 1080 Ti, playing games at 1440@144hz. I've never once run into a CPU 'wall' where the GPU isn't bottleneck. The only time that happens is if you're running a low-graphics e-sports game or playing 1080@144hz+. I'm pretty much always GPU bound at 100-120 FPS in anything I play, although there is often one thread at 95% or higher (but GPU is also running at 100% usage/frequency). CPU runs cold at about 50-55C at all times in normal gaming workloads, because my total utilization has never once gone over 60% (short of synthetics like Prime95, Cinebench, CPU-Z, etc).
With a GTX 1060 running 1080@60 (or even higher refresh, although that wouldn't make sense with that GPU) you'll never run into anything remotely resembling a CPU bottleneck, to the point I doubt you'd ever put any meaningful stress on that CPU with that GPU.
