Azaleas starting to bloom mid January sounds crazy to me!
When it comes to chill hours and azaleas, they do not require that many. There's studies for florist azaleas. But in my experience, anything I move indoors in December, will start to leave dormancy.
There's definitely some that stay put longer. Those that lose more leaves and get more autumn colour.
But I have some flowers indoors coming here myself. Those azaleas barely had any dormancy, had some tips that seemed to be active even after some frost.
If you still get serious cold, that will take off the new growth of the azaleas, and force them to regrow it.
As rockm points out, early warm periods following by a 'second winter' are way worse than just a way colder than average normal winter.
Dormancy should be maintained for as long as possible.
People use ice to actively cool satsuki azalea to prevent them from flowering too early, and missing a show. But one cannot built a greenhouse that is also a freezer.
Putting defoliated trees in a fridge, I guess that can be done. Advanced techniques for sure.