Urban areas includes the main city while the suburban means the areas that surrounds the city. Urban areas are more contested as compared to suburban territories and have lower population density.
Suburbs can have their political jurisdiction e.g in US, but in United Kingdom they are under the administration of the cities. The suburbs emerged in 19th and 20th centuries as the development in road an rail transport made the travel to cities easier.
So we can say that Mr. Alvarez is lives in a suburb of San Francisco.
Mr Alvarez lives in a suburban area while working in the city of San Francisco. People living in the suburban could live out of cities and travelled there regularly for works. For the first time, the suburban began in the 1820-30s later in the 1920s and 50s. The suburbs began because of increasing population growth and industries in America.
In this excerpt by Publius, the Federalists would most likely respond to this in a sense that they would agree and be confident that the Constitution meets those goals.
Publius, Roman aristocrat, was one of the people responsible in overthrowing the monarchy.