I wonder if you could solder a low pass filter into the electronics that drive the speakers in a TV in order to disable this sort of tracking. It might be even easier if you have an external receiver.
A lot of fingerprinting technologies use something called Difference of Gaussian (a type of bandpass filter). However, in practice you capture interest points across multiple bands (scale space).
Basically what this means is that interest points are in multiple frequency bands.
A high or low pass filter is unlikely to filter out a significant number of these interest points at other frequencies so the fingerprint is still able to match with a fairly high confidence.
Another option might be jamming with ultrasonic white noise, but I'm not sure about the health & comfort effects of having something like that going 24/7.
Basically what this means is that interest points are in multiple frequency bands.
A high or low pass filter is unlikely to filter out a significant number of these interest points at other frequencies so the fingerprint is still able to match with a fairly high confidence.