I admit I was also confused about the song's message upon its release in 1991. Back then, the arrangement and vocal delivery sounded a bit condescending, even vitriolic. See also "Journalist who lie', sounding similarly ridiculous, but not in a good sense. So one could feel he sings those lyrics in disdain.
It might no be the case, I am just saying, that I, as a non-native speaker, and who didn't really have access to British press, felt this way. It is one perspective to consider, especially for Nerak, to give us a break about Morrissey being hunted for his animal liberation or whatever views.
When having a listen on YouTube to your referenced, "Journalists Who Lie" (because I cannot wait around til we move the discussion to songs under the letter "j"), under the oft funny comment field, one finds this:
Courtney F. 1 year ago
"Trump's favorite song"
Given the times, I had to share that.