My 06 has been throwing a code for about three months. The code said that I had a bad injector or wire. The truck would crank and run rough for a few seconds and then clear up.I replaced the valve cover gasket and had all six injectors checked. Still did it. The first clue I got was that on warm days it ran perfect, on cold days it did it all day. Finally I realized that when the volt gauge pulled down ( grid heater coming on) it would miss. When the hand came back up to normal it ran like new. I unhooked the grid heater and now no more miss or code. It cranks up just fine in the mornings.

 

And the CR Rams start well without any intake grid heat down into the below zero range. Not sure if it hurts anything long term.
However that is a bandaid, not the real solution since the rest of the trucks run fine with grid heaters.
Sounds like a lack of juice when the grid heaters kick, bad batteries, alternator, connections?
Btw, the truck should and will run fine even when cold and grid heater is cycling, even without battery backup. Evidenced yesterday. My truck has sat for a month, batteries dead as a door nail. Probably left an accessory on or something. Jump started it with jumper cables and a 60A booster on the start cables, immediate.y disconnected when the trick fired and it ran fine with dead batteries and grids cycling.

 

And yes some electrical gremlins are just that. Still have a no start condition that happened once several years ago and with no changes or repairs has never happened again.