Again, looking at a single case is a mistake as later cases can change them. No offense but I've read too many reviews from lawyers who are experts in immigration.
Lawyers quote what is accepted as law by the legal community. They don't go to the trouble to research it themselves and see if certain decisions in history were decided correctly, or if they have been misinterpreted. They just don't.
They will simply tell you what is the modern consensus on a point whether it is factually or historically accurate or not. They simply tell you what other "experts" think, and few if any of these "experts" know what they are talking about either.
But they do know how courts are likely to rule, because the lawyers presiding in these courts got the same wrong information that everyone else did.
For example, the Supreme court said the 14th amendment requires the legalization of abortion and homosexuality. This is now the current consensus on the law. Is it correct? Not at all.
A naval base is not US soil. Only an embassy is considered US soil. My son was born overseas and I have a bit of personal experience with this subject.
Whether you follow the Vattel explanation for citizenship, or the English Common law explanation of citizenship, both grant natural born citizen/subject status to the children of military born over seas.
If modern law does not do this, then this is just another example of how the law has gotten away from it's roots.