Surely we use common sense on a case-by-case basis, and not blindly believe either might be correct?
"refuses" ? dear me - That's a loaded term - no bias here eh?!
How do we know that the BBC has 'refused' to report something?
BBC might have a number of reasons for not reporting something that FOX has run with.
BBC being deniers due to an apparent agenda being one possibility.
FOX crusading with an apparent agenda might be another.
If person#1 has a FOX-friendly, anti BBC stance, person#1 might view it as 'refused'
Conversely, if person#2 has an anti-FOX, BBC-friendly stance, person#2 might view it as BBC being more 'discerning' with what they report.
Likely neither are allowing themselves the best viewpoint.