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You could test only the frequency aspect by using a kit set for 4000mhz and then clock it down to 3000/2000 and see what just the freq does to gaming performance. Then the same kit at 4000 with differenct latencies. I don't think I have ever seen such a test. The only comparissons on mem speeds always use different sticks, so none of the other timings are the same. Kind of making it moot in my eyes. Has GN ever done such a test? Would have seemed worth while.
Not exactly what your lookig for but 3600xmp vs tuned 4000 and 4300. PCBuilding
 
PRO tip: always test with Large Pages enabled to reduce the noise and improve "stability" of results run to run.

What happens with 4KB pages -> CPU has 96 of DTLB entries and with 4KB pages it means when accesing more than 384kb, CPU needs to read page tables from RAM, reading random pages from RAM that are impacted by other OS level loads happening at same time.
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I just compared and it dropped it a lot using the Large Pages. 47ns vs 70ns. Might be run to run variance as in the past I was in the 64 or 66ns range when using Defaults.
 

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Read a few post and you can see @VforV ran Clam Cache on13600k with SR b die and is in the 60ns range. It has to do with 13th gen and more/larger cache on 13900k vs 13600/13700k.

This video talks about cache size and latency increases. 6:40 mark
 
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