The reaction isn't that ‘other people's opinions are bad’. The reaction is that oppressive behavior being passed off as innocuous opinion
The assumption is that this is about oppressive behavior and you're entitled to hold firm in this mindset. The reality is that there's likely a genuine issue here and that issue is happily driven and worsened by these sort of assumptions.
Take some time to read up on the person making the claims. Female CEO of a large news network isn't exactly part of the old boys club.