The speculation about what can be restricted can be settled by reading the FCC rules. In summary, TV cannot stop you from putting up an antenna where it gets a good signal. It specifically allows TV antennas. Declares things like deed restrictions are invalid. Please read and learn.
Over-the-Air Reception Devices Rule | Federal Communications Commission
h-t-t-p-s://w-w-w.fcc.g-o-v/media/over-air-reception-devices-rule (take out the dashes if link above gets hidden)