Yes, that is the REASON they put “Natural Born” into Article II, BUT the law is the law. We must go by the “text” of the law. In other words, allegiances as defined by “Natural Born” You can't extrapolate to your own definition of allegiance.
By defining NBC as Native born with citizen parentS, they have covered all bases. You can wonder, “what about this?”
“what about that?” ad infinitum. Forget that. Born in USA? By citizen parentS? DONE! If you say “yes” to both, you are NBC. If you say “no” to either, you are not NBC.
If you question whether you are a “native” citizen (citizen at/by birth) because of being born on a reservation, look into that. (I am sure reservations are still IN the US)
If you question the citizenship of your parents, you need to look into that yourself.
The law is clear. It needs no clarification in my mind. But if the “parent”S” status needs to be run by SCOTUS, so be it.
Apparently we must go by whatever the King says it is, since not one citizen has standing to challenge what he says.