Yes, it has always supported joysticks and throttles.
However, it does NOT support granular throttle control. The game is arcade style, so basically you just have normal forward speed, braking, and boosting. You get used to it pretty quickly.
As well, CCP Roo confirmed that they did not remove the ability to lock and fire missiles in all directions. You can bind that to any control you want on your joystick, it defaults to the right-stick on controllers, and there’s a keyboard preset that has you fly with the arrow keys while using the mouse for free-look.