I'd be fine with doing verification of parts like that if and only if it doesn't lead to nonsense such as scary popups warning of damage or reduced functionality or what have you.
Obviously this also implies that to create a replacement part you don't need to ask the original manufacturer for permission. A "third party signing" key should be publicly available.
No, I definitely think that the verification on the parts to make sure that they are original should stay, but it should not disallow non official parts to be installed. Because, if I want to replace a part with an original, there should be a way to verify the part is not counterfeit, and I think it would be super beneficial for consumer if the part was able to verify itself as genuine. But, I should also be able to install non genuine parts as well.