Of course they do. But the two cities are equally American, so by definition they can't be more or less American than each other. You can compare them to other places, but you can't push them out of being American.
They are both geographically American. They are both legally American.
2018 Geographic America is American as 1812 Geographic America.
However, the latter is fundamentally different culturally than the former. This occurred for three reasons.
The people forgot what was unique about America and began to see America for it's flaws instead of it's strengths.
An elite , typically highly educated, establishment class worked diligently to change America from what made it great. This was largely seen in the establishment of the progressive movement whom teddy Roosevelt was it's first highly visible proponent.
Immigrants began to be brought in more for their economic use than for their appreciation for the American ideal.
You cannot say the resulting culture was no different than original culture in terms of the ideal of the American experiment.
That is unless you are a historical revisionist who has no respect whatsoever for the original American ideal and sees it fundamentally as racist, mysogonistic, and imperialistic. These people define original America through it's faults rather than it's unique system of governance and it's view of the sovereignty of the individual.
This is the essence of my topic which was misunderstood from the start.
If you believe borders should be open and all the world's people entitled to citizenship....then of course you will take umbrage at my topic.