No you misunderstand, I do ot think you are biased against the media.
The rest of your post I pretty much agree with, the only difference I suppose is where people see some unique bias against City I see the vast majority of the media prepared to behave disgracefully to everyone and anyone to get a few clicks whether it be, in a football context Sterling/Mason Greenwood/Ross Barclay even going back to David Beckham, before it became fashionable to like him, and honourable men like Graham Taylor and Bobby Robson etc.
Still believe there are a some good people within it though or have no evidence to suggest otherwise.