You're probsably in bed by now, I'm going soon, but wanted to share one similar experience, just in case and FYI :
Three winters ago, I had problems with a freezing heater blower motor. It froze a few times because... some snow got into the cowling below the passenger side wiper (that's where the heater/ventilation gets its fresh air from), the snow melted a bit and then froze ; problem was when it froze, it did so directly on the blower squirrel cage and seized it. This situation caused a CEL and, guess what, failed remote starts. Took me a while to figure it out, but eventually I stopped using the leaf blower to clear snow from the Cherokee, because... I probably forced a whole bunch of snow down that cowling... I also got pretty good at using a blow dryer to thaw/unseize the squirrel cage (blower), because it happened once or twice after that. Hasn't happened the last two winters.
So yeah, CEL conditions can be many things, but they will 100% cut a remote start short. Find the cause, fix cause and remote start will be back online. You can of course let the dealership figure this all out, it's warranty work after all. It's just nice to be in the know.