You keep using that argument and it has always baffled me why you do it because it proves the opposite of the point you are trying to make. The words "Considered as" mean the same as "Like" or "similar". Which means NOT the same thing.
You have a statement which specifically says they are NOT the same thing, and yet you try to spin it into meaning that they are.
And that doesn't even begin to address your cognitive dissonance with this line: "Provided, that the right of citizenship shall not descend to persons whose fathers have never been resident in the United States: " Which I interpret to mean that Foreign Fathers are absolutely out. Their children get NO CITIZENSHIP AT ALL.
The "men of the times" as you say, this Congress and this President Washinton, many of whom helped WRITE the Constitution, had no problem recognizing blood-based citizenship at birth is also 'natural born' citizenship.
"Considered As" not "also." It is like it, but not the exact same thing. By saying "considered as" rather than saying "Shall be natural born citizens" it seems as if Congress of the times is tacitly acknowledging that they don't have the power to make something natural when nature didn't.
It's just like adoption. Someone can be given the family name, but they aren't actually blood kin. They can be "considered as" family, but they aren't actually part of the same family tree.