Tampas merchants directly competed with Jacksonville's and no doubt had many more migrant workers from Puerto Rico and the islands than are counted for in the census numbers. Im not as acquainted with Tampa history, but it would have been pretty crucial to the gulf based nature of the spanish colonial empire. With an east coast orientation of the United States and the Atlantic predisposition of the English, Jacksonville naturally became more important.
The Steamships, Naval Vessels and Railroads are what provided the economic engine for the city, but the Bordellos and the Carny folk are what created Florida Tourism, and that changed the nature of the city and then the state.
Much of my family is from Tampa, so I'm pretty familiar with the area and its history.
Tampa was similar to Birmingham. A place that initally grew very quickly due to industry. In Tampa's case, the arrival of Plant's railroad, the discovery of phosphate, and Vicente M. Ybor deciding to build a cigar manufacturing town a mile north all happened in the 1880s. Its port is still Florida's largest by tonnage, due to the region's phosphate and citrus industries. Being on the coast, it was and still is a shipbuilding center (probably moreso than we are today).
The cigar industry peaked around 1929 before Jax's Swisher put the clamps on it via mechanization of the manufacturing process. The cigar industry attracted immigrants mainly from Cuba, Spain, Italy, and Eastern Europe. Even today, you can see this through the architecture of neighborhoods such as West Tampa, Palmetto Beach and Ybor. That atmosphere also led to it being a center of organized crime for much of the 20th century.
Like Flagler, Plant opened hotels as well, including the 500 room Tampa Bay Hotel (now University of Tampa) in 1891. It was also the state's embarkation center for American troops during the Spanish-American War. Unlike Jax, other cities with their own economies were growing "nearby" as well. For example, St. Petersburg was incoporated in 1892 and quickly became a retirement and tourism center. There's also places like Tarpon Springs, which attracted Greek immigrants in the early 20th century to work in the sponge industry. Close in proximity, over the years, all of these places have grown into each other and are now one major urban area, despite maintaining their status as seperate municipalities.
Locally, we tend to overlook this area at times, probably due to it being on a different coast and Plant being the guy, instead of Flagler. However, it has a lot of similarities with early 20th century Jax. The major differences being the industries of each region and cluster of nearby cities (Tampa had/still has a ton, Jax, not so much).