Lol, they still get that hot...you're just dissipating it at the same rate as it builds up (or something like that).
This was not phrased properly.
They still produce as much heat even with proper cooling that dissipates the heat as fast as it generates.
But they don't get as hot (reach the same temperature) if they are properly cooled.
Of course, cooling always dissipates heat as fast as it generates - eventually. The difference is that if you put more effort into cooling a microprocessor, the rate of heat removal becomes equal to that of heat production at a lower equilibrium temperature. This is because, in general, heat flow from one place to another is proportional to the difference in temperature. So, if you want to remove lots of heat fast from a computer chip that isn't that hot to begin with, ice-cold water, or, better yet, liquid nitrogen might be advised.
If microprocessors could survive being hot enough (like the chips they make out of silicon carbide to put in cars) then the microprocessor could dissipate heat as fast as it was produced simply by acting as a space heater, without a fan at all. They could mount the microprocessor on the outside of the case, and you could use it to keep your coffee warm.