Listing out inventors is not about protecting the rights of humans but giving proper attribution to the works. The owner (person or corp) gets protection. AI is attributed as contributor or inventor.

With that said, AI contribution should always be disclosed in every medium that it participated in, including patents.

> Listing out inventors is not about protecting the rights of humans but giving proper attribution to the works.

This sentence contradicts itself. The reason we attribute inventors is because we recognize it as a legal right. Patents exist to give humans, whether working individually or in a group, an exclusive right to that invention for a period of time, as a legal protection for the activity of inventing.

My math teacher made me say whether or not I used a calculator. But that's not a requirement for patents.

You don't need to say what tools you used, even if you used a really big calculator.

Also, calculators don't anthropomorphize into inventors when they get really big. Inventing is, by definition, only something humans can do. Even other living creatures cannot be inventors.