A:Answer This and other high def OTA over the air antennas do not separate video from audio. instead the entire broadcast comes over the RG-6 coax line, that is then plugged into your television, or a separate digital decoder box (SD, HD, 4K)
It is quite possible though that your TV does support Bluetooth, so you would be able to view OTA transmissions on your TV and hear them on your bluetooth headphones.