Oh to add a bit more. I have heard of someone growing satsuki azalea in Hawaii. Maybe it was even on here. And it also flowered flower by flower continuously. I have heard from other people that in subtropical climates, azaleas don't do so well. Many plants don't do well long term in a subtropical climate, because they never go dormant. And then they stop growing, because they falsely fear winter is about to start. And they never get a sign that winter is over because winter never happens. Winter cannot be over if it hasn't been cold yet.
But I hear mixed things about evergreen azaleas doing well in climates where there are no winters. Evergreen azaleas do occur as native species in subtropical climates; China, Vietnam, Thailand. Then Ryukyu and Okinawa Islands are pretty tropical as well. But I think they are only found there at altitude. Of course, altitude doesn't introduce seasons. But those are not the kurume type.
So azalea may actually be one of those species that normally goes dormant in winter, but actually can adapt to tropical climates and not go dormant. As long as it doesn't get too hot and too dry. Heursel claims the ideal temperature for evergreen azaleas is 25 C. They can take much hotter weather. But I guess if you can control the temperatures inside a greenhouse where you grow your azalea, you put the thermostat at 25 C, and not any higher.