Ok! Now you know how it gets broken, and how to demonstrate the problem. It looks like the car connectivity is either wrongly configured, or is ignoring time zone in its time signals. The likely sources are the cellular signal which supports the car’s connectivity, time signals embedded in radio broadcasts for the infotainment system, or picked off from the car’s GPS and navigation system. At least the first and probably the second should have time zone in their received time data.
The next task is to think of a permanent solution. If leaving WiFi routinely off is acceptable to you that is simple enough, just remember to enable it again when it comes to software upgrade time. If you need WiFi on the watch for your daily usage it might be worth digging into the car’s menus, there might be a time zone configuration in there somewhere. You could also consult the dealer, a new car feature should not break normal operation on your watch And there might be something they can fix in workshop.