So what is the naturalization process? Is there only one? What defines this process?
He was not naturalized but, a citizen at birth.
A citizen at birth via an Act of Congress and Congress can only enact laws governing naturalization.
Something for you to consider...
Acquisition of Citizenship
U.S. citizenship may be acquired either at birth or through naturalization subsequent to birth.
Do you understand acquisition in a legal sense? Natural born citizens inherit their citizenship, they don't acquire it.