There are temperature sensors in the battery. A cold soaked battery that has been outside will stay cold for a LONG time after it is in a heated garage. I'm sure there are differences in software and sensors between the Y and CT but also the CT battery is much larger than a Y so it will stay...
Anecdote from my Model 3. I have an iPhone for work and an Android phone for personal use. The iPhone gets too hot to use the wireless charger in my Model 3. My Android phone has a setting to force low power inductive charging that I have to turn on and that works just fine. If I turn on high...
Oh no! Please elaborate with details. Let us know what it takes to make your truck alive again. Hope Tesla has put you on a priority list to get it fixed quickly.