"Parents Rights" is a dog-whistle for abuse.
The US is the *only* country in the world which is not party to the UN Convention on the Rights of the Child.
There was a proposal by Russia a few years ago to include so-called "Parental Rights" in the convention, and it was widely rejected as it inherently is at odds with the idea of the rights of a child to be heard, respected, protected, a right to their own name and identity.
In the US, rejection of the convention is specifically because of conservative Republicans who believe that children should not have rights, and that only the authority of parents is what matters.