My stereo randomly reboots as well. Your posted thread is about the audio cutting out in cold weather. I read some of the thread and believe my situation as well as the OPs is very different.Link to the thread below. 37 pages and counting. lots of JL owners have experienced it. I’m sure there’s a STAR case or two out there on it, but last I read there was no definitive solution from Jeep.
I believe a Ram owner with the 8.4 Uconnect was able to resolve the issue by replacing his backup camera of all things. Dealer will likely want to replace the radio, but that oddly doesn’t seem to fix it.