> No, generally airports associated with cities are not in the cities. SFO isn't even in San Francisco county.

Not being in the County of San Francisco is not a different or more significant fact than not being in the City of San Francisco, they are not merely geographically coextensive but the same entity, the City and County of San Francisco; which has a mayor as it's executive (like other CA cities) but, instead of a City Council, a Board of Supervisors (like other CA counties) as it's legislature.