The intention of that amendment should be taken in context. It was implicitly intented to address the naturalization of former slaves.
If we were to take your logic, the second amendment's 'militia' would mean (the modern perception) state militia, rather than the meaning of the word when it was first written down...as noted in the Constitutional notes via madison or others.
What amendment number is that?
The very same parallel occurred to me a few days ago.
It is imperative to take into consideration the intentions behind the words in the Constitution.
It's astounding that someone can claim that the 14th excludes children of diplomats -here LEGALLY, mind you- but includes those that are criminally within our borders.