Anything that might result in divided allegiance loyalty or citizenship, be it location of birth or foreign parents, negates natural born citizen status.
I know how you feel about it, having read it often in your many posts on the subject, I was asking your opinion on the founder’s intentions.
There is little that I can find in the Federalist Papers that sheds light on this which is where I usually start looking, but I admit I have probably not scoured it hard enough.