^Right. There were quite a few formerly independent communities that have been enveloped by post-World War II suburban growth, and in some cases before. Arlington, New Berlin, Mandarin, Orange Park are all examples. There are also various riverfront areas that were originally just some rich peoples' homes that are now part of the surrounding suburban neighborhood.
San Jose was a bit different in that it was designed to be a separate community several miles from the city, meaning it was basically going to be a separate master planned town built from scratch. However, it was still essentially a bedroom community for people working in Jacksonville. In that way it prefigured the bedroom suburbs that grew up after the war. It was a bit too early to really be successful - unlike other, closer 1920s-era neighborhoods like Avondale, San Marco, and Panama Park, but as we can see the land, if not the plan, became hot in the era of post-war sprawl that also gave us various other Southside neighborhoods, Arlington, and others.