Not overly difficult to find results where the 3600 does better 22% in BFV is pretty large also not difficult to find where the 9600 does well so that's why I've repeatedly said do your research
Keep in mind its 18% cheaper currently on amazon.
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I think I mentioned this already you lose a bit in gaming but you gain much more in MT task and in 2020 if you don't care about MT performance you should if not a 7600k at 4.8ghz which also has nearly the same IPC as a 9600k wouldn't be losing to a 1600 in a lot of modern games.
I don't think anyone could recommend in good faith a 9600K over a 3600 other than blind intel fanboys. Fanboys of anything are the worse and I hope intel can get down to 10nm or 7nm soon because all the Ryzen love is getting old I mean you have to scroll way down on amazon.com best selling cpu list to even find an i5.
Not to mention its a dead platform with a likely much better i5 that will probably be better than an 8700k coming out this year although with all the mitigation intel is having to pump out who knows.... I haven't notice any noticeable performance degradation with my 9900k since it launched so fingers crossed that isn't the case I'm willing to bet slower cpu with less resources will feel it first though and maybe that's why in SOTTR the 9600k at 5.2ghz is 60% slower than a stock 9900k in 1% lows albeit with unrealistic settings....
I love my 9900k based system its pretty amazing but even it I wouldn't recommend over a 3900X given the choice between the two.
Again we could argue this till the end of time so it's a bit pointless as the OP already decided he was going intel no matter what so its irrelevant.
I worry about the longevity of a 6 core 6 thread cpu but the OP has a 580 so with ultra settings he will struggle to even hit 60 in some games so its probably irrelevant for now.
I hope I was clear as to why I would recommend a 3600 or even a 2600 (the substantially better upgrade path while both of them being cheaper) really over a 9600k doesn't mean I'm right whoever is buying one of these cpu needs to research the games they actually plan on playing and the programs they actually plan on using.
coming from what the OP has just about any modern cpu will be a huge upgrade... I have a feeling he's going to love the 9600KF
I tried to help the OP as much as I could with the gaming/system building experience I have admittedly that's way less than a lot of people on this forum only 30 systems over the last 9 years...
Something
@phill said got me thinking and really the best way to make a good decision would be to have both system in front of you doing the things you do unfortunately this is unrealistic for most people so all we can look at is a graph that doesn't always tell the whole story.