Surely these utterly fall apart (perhaps that is what you meant to begin with) when considering actual usage rather than arbitrary geographical boundaries.
Oakland is very much not the geographical equivalent of Brooklyn (you might be able to make some sort of argument for the Bronx or Staten Island). San Francisco is not more densely populated than Manhattan, neither is, by a long stretch LA.
Oakland is very much not the geographical equivalent of Brooklyn (you might be able to make some sort of argument for the Bronx or Staten Island). San Francisco is not more densely populated than Manhattan, neither is, by a long stretch LA.