No. Obama's mother was too young to confer citizenship to him, so his father's citizenship would have applied by rule, British (later Kenya). This applied by rule no matter where he was born.
You are claiming that a kid born to a 19 year old American woman in America, with a father of foreign citizenship, isn't a US citizen because his mom is "too young". That's a ridiculous claim.
Consider the well known phenomena of "Anchor babies" These are kids born on US soil to two foreign parents. Yet, they are universally considered US citizens under our laws. (Thus, they become the 'citizen anchor' for the parents to get benefits and accelerated citizenship, thus the term.)
You might not LIKE this interpretation of the law, but you can't argue that it is universal.
I think you've gotten your interpretations of what NBC means confused.
The claim I remember (some) birthers making was that because she had been out of the country for so long (had she? or was this, again a "fact" that was asserted without any real proof) that somehow should could not pass on citizenship.
YOu have now enlarged that to be "no matter where he was born".
Birth on American soil alone, regardless of the citizenship of either or both parents, has been enough to confer citizenship since the 14th Amendment was ratified.