“If both situations are okay, then a person could be born outside the USA with no parents that are US citizens and that would be okay.”
I have to disagree with you there. Both Marco Rubio and Ted Cruz should be eligible to be president. Under your logic, children of diplomats, military families, missionaries and others would become second class citizens, even though their parents are American citizens.
I agree that US-born children of illegal immigrants shouldn’t be citizens but I don’t think Rubio’s parents were illegals. As for Cruz, his mother was a native-born American so he should be covered. Allowing them to run for president by no means allows a foreigner to become president. That’s why Arnold Schwarzenegger should not be allowed to run.
Under your logic, every child born overseas to a hooker and a American is a us citizen, fit to be president of the US. Vietnam and Thailand would be full of US citizens then. Obviously there is a process to citizenship and it isn’t simply because of one US parent.
Americans, unless they have lived abroad, do not know that millions of American citizens living abroad have had children or that American law makes no provision for as certainly the status of many of these children.