It seems to depend a lot on people’s own personalities and worldview as to whether they perceive comments as ‘hateful’ or disdainful or vitriolic or disparaging or blasphemous etc.
I would venture to say that the majority of people, as others have noted, don’t really have a feeling one way or the other for either form, i.e., “The Mass is the Mass’. So people like that would read a comment like, “The EF is the Mass of the Ages” or “The EF is an outmoded dinosaur appealing only to those lost in nostalgia” and not feel as if one was an extravagant praise that 'dissed the OF” or the second a sneering judgment and disrespectful comment. Likewise, those people would hear, “the OF is often poorly celebrated with illicit innovations” or 'The OF is the gift of the Holy Spirit and finally we can ‘get’ what is going on instead of just saying rosaries" and not see the first comment as a scathing indictment by ‘holier than thou’ rigid Feeneyites and the second comment as an extravagant praise that totally dissed the EF and all its adherents for generations prior.
BUT there are a lot of people in ‘both camps’ who have had years, even decades, of being exposed to comments like the above, not just on message boards but face to face (so that one gets the full blast of the raised voices, red faces, sneering looks, being ostracized, derided, laughed at, having the matter constantly brought up with braying jeering over and over (again, this is on BOTH sides) such that those rather ‘mild’ statements above have become engrained into their hearts and minds as either terrible insults, or else as total ‘truth’, deviation or even questioning of which marks the other person as one of those jeering devils. And THAT is why you’ll see people nearly froth at the mouth (again, both sides) over comments that most people wouldn’t even think twice about.