The traffic updates is not reliant on your car being connected to WiFi as how would it get updates on a journey. It uses the cars sim for that which you'll need premium connectivity after the initial month expires.
Have you tried sitting in the car, creating a hotspot with your phone and seeing if it'll find that and connect, just to test it?
Have you tried sitting in the car, creating a hotspot with your phone and seeing if it'll find that and connect, just to test it?