Cox hotspot

Is Cox able to run their CoxWifi public hotspot 24/7 only if you have the Cox Panoramic Wifi Gateway, or are they able to do that regardless of the router you have if you are running wifi at all?  I have realized that even with the router in bridge mode, their public wifi hotspot is still running in my home off my router 24/7.  Changing my profile to disable the guest wifi did not work.  Putting the router in bridge mode to "turn off" my wifi and the guest wifi did not work.  Do I need to hardwire everything via ethernet and give up wifi entirely to get this to stop?  Or does a different type of router and separate modem solve the problem?