Earlier quoted context omitted.
Wouldn't be surprised if the cooling solution was serialised and it had a detection whether the cooling is originally programmed for the particular unit like they do now with cameras and other peripherals (check iPhone 12 teardown videos). I bet that the logic would check the expected temperature for given binning and then shut down the system if it is too cool or too hot. Apple knows better than the users what hardw…
For a while, the fan was broken in my 2017 MacBook Pro 13". Didn't spin at all. The MacBook never complained (except when running the Apple hardware diagnostics). It didn't overheat or shut down unexpectedly. It just got a bit slower due to more thermal throttling. I expect it would work the other way, too. Improve the cooling and performance under load would improve.
This is a video from Linus Tech Tips that demonstrates that no matter how much you cool it, they've physically prevented the chip from taking advantage of it.
And if it could be fixed with software, they would have worked out how, they're into that kinda tweaking.