In gaming the difference between 13700k -> 13900k -> 13900KS is just ~1% jump at each step, basically negligible.
Hence the 13700k was the preferred choice for gaming.
In fact the 5800x3D was very close to the 13700k's perfomance, but at a lower price
13700k does 5.4/4.2 (P/E) GHz boost @ stock
Your +0.2/+0.2 GHz OC will translate to <4% increase in performance.
Stock CB r23 score = ~30,000
Your +4% OC score = ~31,200
13900k score w/ AIR cooler = 38849 (~+30%) (source linked above)
For you to reach that score you would have to OC to 38849*5.4/30000 = ~6.99 GHz
But now you're wondering does the 13900k really boost that high?
What you are forgetting is it also has 8 extra E cores.
Even with a 420mm or a custom loop with multiple radiators you simply can't close that gap.
TLDR: you blew 11k+ chasing a mere 4% extra perfomance
104% of 13700k performance = 80% of 13900k performance
Hence the 13700k was the preferred choice for gaming.
In fact the 5800x3D was very close to the 13700k's perfomance, but at a lower price
13700k does 5.4/4.2 (P/E) GHz boost @ stock
Your +0.2/+0.2 GHz OC will translate to <4% increase in performance.
Stock CB r23 score = ~30,000
Your +4% OC score = ~31,200
13900k score w/ AIR cooler = 38849 (~+30%) (source linked above)
For you to reach that score you would have to OC to 38849*5.4/30000 = ~6.99 GHz
But now you're wondering does the 13900k really boost that high?
What you are forgetting is it also has 8 extra E cores.
Even with a 420mm or a custom loop with multiple radiators you simply can't close that gap.
TLDR: you blew 11k+ chasing a mere 4% extra perfomance
104% of 13700k performance = 80% of 13900k performance