Just my viewpoint but I'd disagree with that. Folk on the left tend to think the media is right-leaning, folk on the right tend to think it's left-leaning.
Aside from a few exceptions, I think society and the media have probably moved a bit to the left, on social issues anyway, and that's probably contributed the increased noise from the gammon constituency of the population. Particularly the middle aged ones, they're from a time when as long as you weren't an outright bigot, holding gammony points of view was considered the norm. The world's shifted and they haven't so there's always going to be increased friction there.