It really does not matter about "the "service" knowing your location. You (and everyone else) driving a late model vehicle has a data recorder that sends out a signal too. You can't disable that realistically because it is tied into all your electronics. You need to buy a pre 1980's car, have no cell phone or tablet or laptop on your person, stay away from interstates and cities with more than a 10K population (traffic cams) and do not buy an EZ pass. Your residence cannot have any electricity bought from a power company, you cannot have satellite tv or public water and sewer. If you follow all these rules then maybe you can be "clandestine" for a bit. Oh, all transactions have to be in cash and you cannot have a bank account. Last thing: Make sure your tin foil hat is current and has all updates.
Bottom line: Even if you turn off the roadside assistance, if someone wants to track you or hack you bad enough there are multiple points other than that service. Buy an old pickup truck.