Why not 8700k? What refresh rate?
You'll want Hyperthreading to help command queing on the primary core to help cpu usages at 100+ fps depending on gpu. 8600k is showing higher cpu usages in modern games so a 7700k will do better but its an older platform. 8700 or 8700k will be better into the future if aiming for high frame rates in either 1080p or 1440p.
[video="https://www.youtube.com/watch?v=Qo3EJzHuXok&t=8s"][/video]
Imo 8600k is overrated when high fps is concerned.