Sheesh. Can you not read English? The disclaimer was because there are exceptions, as several of us have laid out for you many times.
There are clear statements that these are natural born subjects. More to the point, the Supreme Court has recognized Jus Soli “born on the soil” in the US. You don’t like it? Fine, get the law changed in the US, but don’t make yourself ridiculous by claiming British common law didn’t say what it clearly said.
"Generally speaking" natural born subjects that do NOT have the same privileges as ACTUAL natural born subjects? Um... NO.
FAIL.
For citizenship? Yes.
For Constitutional natural born citizen, the only SCOTUS definition is Minor v. Happersett: born in the US to US citizen parents.