Yes, the highest standard of loyal citizenship - 2 citizen parents and born on the soil - which is actually Cruz’s description of NBC in 2012.
A Freeper, WhiskeyX (I think), explained this in detail to me. If no other country can claim you but the USA then you are a natural born citizen. A person with dual citizenship doesn’t fit that category i.e. Cruz and Obama. So that specific standard of birth plus two citizen (loyal) parents and you’re in.
Is this what you mean?
well, its what I think the Founders/Framers meant! They suffered too much and were committed to the new nation too much not to have someone as committed as themselves holding the Office of President, and more specifically, as Commander in Chief. Birthright would have been their idea of a situation providing that unswerving loyalty.