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If NYC did become a district like DC, they would have no representation in congress, correct? If so, it's big plus.
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That would never happen. Ever.
If NYC ever did break off, they'd have representation in Congress and the Senate.
DC (as in, the federal district only, not the metro area which includes parts of VA and MD) has a population of ~650,000
NYC has a population of 8.5 million.
There's no way that that many people would be deprived of representation in Congress.