i have a samsung tv and for whatever reason it auto connects my dualshock 4 to the tv so when im using my ps4 and i press the home button it does to hdmi 4 even though i dont have a hdmi 4
It looks like it may be a bluetooth setting on your T.V.
If you can, head to the configurations and disable the setting. If you have a Samsung, you should be able to enter Settings -> System -> Device Manager -> Bluetooth Gamepad Settings. You should be able to disable it there.