That's the correct reason for Florida. As I understand it, no equatorial country was considered stable and friendly enough to put the infrastructure there. And the US would have to then regularly transport a lot of equipment and personnel there. In contrast, putting mission control in Texas really was about politics. In particular, LBJ was from Texas. And while he was actually a fan of the space program (in some ways more so than Kennedy), he still wanted his home state to get something out of it.