Good argument. In my mind it’s probably more likely that, if anything, the Founders would likely default more toward jus sanguine than soli, as evidenced by the need of the 14th Amendment to grant full citizenship to blacks in light of the Dredd Scott decision.
If one does enough research on this subject, there’s something that does begin to become obvious....some, certainly not all or even the majority of courts begin to use the term “natural born” and “native born” as if they were interchangeable.
The terms are NOT synonymous and there has been no definative decision or precedent to make them so.