I think that's the reasoning for the 3600x
Makes perfect sense then
I'd be inclined to agree on the cooler. If @thomor does go ahead and buy it, I'd be interested to see some photos of it. I think it's one by ID cooling, but not sure which model.
I think people get the AMD coolers and the Intel coolers confused. The AMD offering is a semi-budget cooler, no doubt, but so are budget aftermarket offerings. The Intel offerings often go directly in the bin.