Hah, I think I accidentally figured out why everyone on BBC News looks so red for me. For some reason, my TV provider (#Tele2) specify BT.2020 colour space in the video metadata, while it's actually encoded in BT.709.
#FFmpeg came to the rescue on a test clip:
ffmpeg -i input.ts -codec copy -bsf:v h264_metadata=colour_primaries=1:transfer_characteristics=1:matrix_coefficients=1 output.ts
