Desolder the wifi antenna. No way for software to distinguish that from legitimately not being near any other wifi devices.
Anyway, any solution that involves opening up the enclosure is one just for the nerds.
Even so agreed on the latter point. I have a full EE lab at home but even I lack the space to work on a modern large format display.
Documenting optimal copper tape positions for the back of the display for different models is the move.