You haven’t given us the definition of two terms:
1. citizenship by birth
2. circumstances of birth
It’s not obvious to me that the first term means literally born in America.
The 2nd term is not equivalent to the first and describes “birth”, not “citizenship”. What’s it’s pertinence to citizenship?
I want to clear up your confusion, if there is any. Obviously citizenship by birth is not the same as the circumstances of birth, and I never made any attempt to make them equivalent.
In fact you might combine them to say “citizenship by the circumstances of birth”.
Does that help?