“Title 8 section 1401 subsection G of the US code states that he is a US citizen at birth and is thus, a natural born citizen.”
Any other words you want to insert into the law?
If Congress intended “natural born citizen” the law would state so, just as the law did in 1790. The fact is the law says “citizen”.
In fact it says “...citizens of the United States at birth.” It’s in the very first sentence.