Suppose that TV experience does influence dreams—or the memories or self-reporting of dreams. Why would it affect specifically and only color?
Should we expect people who watch old TV to dream in low resolution and non-surround sound? Do people have poor reception and visual static in their black and white dreams? Would people who grew up with mostly over the border transmissions dream in foreign languages, or have their dreams subtitled or overdubbed? Would people who grew up with VCRs have pause and rewind controls in their dreams?
Some of these effects are plausible. Anecdotally, I watched a lot of anime, and I had some dreams in pseudo-Japanese (I don’t speak Japanese). I don’t remember ever dreaming subtitles though.
Does either the explanation of the black and white effect make predictions about which other effects should be present, and why?
The former helps cause the latter. Sources that aren’t available to the public, or are not widely read by the public for whatever reason, don’t face the pressure to propagandize—either to influence the public, and/or to be seen as ideologically correct by the public.
Of course influencing the public only one of several drives to distort or ignore the truth, and less public fora are not automatically trustworthy.