> Those two rights deal with determining citizenship at birth.
Citizenship is always first determined at birth. This isn't relevant to the discussion.
> The common sense idea deals with the probability of someone (already born) being of a certain citizenship given their parents' location.
That would be "ius soli". As opposed to "ius sanguinis".
It's also not a "probability". These are principles which are formally enshrined in nationality laws and very much determine travel, migration and national security policies in different nations. Including the United States.
These are not "common sense" either.
These are laws which come with a long historical pedigree which includes identity politics, economic policies, moral and ideological values, and so on.
They are also very much subject to change through the dominant politics of the day.
> Not allegiance, citizenship. Different, but similar concept again.
I'm not willing to engage in a semantic discussion.