The best outcome that Thomas could have had, if his father met the physical present requirement or had been born a US citizen, would be becoming a naturalized citizen by operation of an act of Congress. Thomas was arguing to get out from that "Act of Congress" means to citizenship. His argument was that he was born in the US, because US military bases is no different of that of one who was born on US 'soil'. The court rejected his argument.
Your statement, "birth [on a US military base abroad] and 'natural born' citizenship is no different of that of one who was born on US 'soil'." is false.
What I said was under the presumption that her father and perhaps her mother both were US born citizens (not a recently naturalized citizen as Thomas’s father was) and while the poster said she was born in Germany, it was while her father was stationed there as a US service member, her father and perhaps her mother also having met the physical presence requirement. So yes, in that case the poster would be a US citizen at birth and a NBC.