Citizen consists of 2 groups:
1) Natural Born citizens who obtained citizenship through birth.
2) Naturalized citizens, who obtained citizenship through Naturalization. The phrase "Naturalization" refers to the process where a non-citizen gains the status that Natural Born citizens gained through birth.
"Naturalization" refers directly to "Natural Born". This is the root of the term "Naturalization", and why we use that term.
There is no third type of citizenship in the United States, and no silly European French-Swiss dead guy you quote can change that. Only a hard-core delusional nutter would turn to a French-Swiss European for determining US law.