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The 4770k and 4970k get around 50fps (min. not average FPS) in challenging games like FF Shadowbringers, regardless of resolution. Other, perhaps better optimized games like Red Dead Redemption 2 get a minimum of 60 fps.
Strategy games which tax CPUs heavily - like pretty much all modern Total War games should also see a large benefit from upgrading to a CPU like the i7 9700k (or newer).
AMD's Zen CPUs could easily overtake or equl Intel perf. this year, they would only need about a 10% IPC boost vs the current gen in single threaded performance. Definately a good idea to wait for this as new CPUs will be announced very soon.
If you game at a higher fps than 60, at a lower res, a CPU upgrade would give you a boost.
If you can upgrade cheaply by the end of October, id say it could be worth it. Much better to wait until next year for DDR 5 to be released though, if you are gonna bother to replace the whole system.
This.
If your cpu is giving you 60fps minimums (in all games you're playing), and you're on a TV (almost certainly restricted to 60fps) then there's little to no benefit upgrading cpu atm for games, because well...your TV can't display any more than 60fps!