Depends on the games, resolution and framerate it is intended to run the games. If you play CPU intensive games like Battlefield V at 1080p, the 4770k will slightly bottleneck the 2060 if you want the maximum FPS (for a 120-44Hz monitor), not too badly, but it will be noticeable. Overclocking it would reduce the bottleneck. If you play at 1440p, there will be no bottleneck at all.
You can anyways use in-game "resolution scale" setting or Nvidia's DSR to render the hame at higher resolutions than your monitor's and this way get a noticeable improvement in image quality.
no bottleneck at all with the 2060 nor 2070, and even with 2080 or 2080ti, none that you should even care about. make sure to overclock too, 4.2 right off the bat with no messing with any voltage at all should work.
Thank you for all the replies, I'm a real sweater in the different games so you already know I'm playing on that stretched res
It's just that new games such as CoD Black ops -Black Out and the brand new Apex Legend comepletely eviscerates my fps no matter what I do.