A hot bend is easier to bend = true. BUT, if you are doing hundreds of bends an hour, or even only two or three a day, both a hot bend and a cold bend require a form, a die and a process or machine to pull the tube through the bend. You are actually rolling the tube past a fixed die with a mandrel and lever arm against the fixed die.
A hot bend MUST BE exactly the same temperature across the entire bend length (and be very, very carefully kept exactly at the same temperature EVERY time the same part is made.) Otherwise, the part is ruined - it bends too far at the hot spots and too little (is still straight) at any or all of the cold spots. So, as you do more and more bends, the mandrel and die and machine heat up - you get different results. Then you go to lunch, or lose power, or do something else for a few minutes, and the parts change again., Start up again the next day, you make all of the same differences in each part.
You need more energy for a cold bend, but that bend is simple and repeatable. Build the machine for a big tube, buy a new mandrel and die and you can use it for any smaller tube diameter, wall thickness, and bend diameter. A cold bend is the same bend across the whole tube every time because the metal yields predictably every time. (Unless wall thickness changes.)