At least with my house, all the coax comes out to a central location outside where they connect to a splitter that then connects to the incoming feed from the cable company. If you don't have cable or broadband internet, you can just disconnect the external feed to bypass this issue. Apart from initial installation or a service call, they're unlikely to ever touch this again as they don't need to physically come out to cut your service on their end even though your coax is still connected physically.