I'm just the messenger so don't shoot me - but I offer the following for your information.
Is this an OEM version of the CPU? Or a retail version that came with an Intel supplied cooler?
If a retail version supplied with a cooler then understand that using ANY cooler besides the one provided VOIDS THE WARRANTY! Any damage caused by overheating or failed 3rd party fan is not
covered - not by Intel, not by the motherboard maker, not even by the 3rd party cooler maker.
And, also understand that regardless any motherboard features for overclocking, overclocking applies voltages to the CPU that are NOT as specified and also voids the warranty.
Read your EULAs - it's in there.
Same policy applies to "boxed" or retail versions of AMD processors too.
So while it may be difficult for Intel (or AMD) to prove you used a 3rd party fan, or that you overclocked - it would boil down to you lying to tech support, if asked. And if lying is to cover-up a wrongdoing for financial, personal, or monetary gains - that's fraud!
Of course, if an OEM CPU, or if the CPU is no longer under warranty (retail versions are typically 3 years), or if you don't care about warranties, then never mind!
(I have a canned text with links to "official" Intel and AMD warranty information - same as in your EULAs - I will post that if anyone desires. But I don't want to drive this thread OT so further discussion beyond that should be in a new thread.)