You keep making the assertions in defiance of the historical fact the U.S. Supreme Court decided such children acquired no U.S. citizenship after 1802 and until the naturalization acts once again gave them naturalized citizenship. You are also denying the fact many children born abroad with a U.S. citizen parent never become U.S. citizens.
What you call “..making the assertion in defiance of historical fact...” is more correctly called “referencing and quoting the law”