They would say that, wouldn't they?
I know many people who consider the BBC to be biased against their own political leanings - the leftwingers think it is right wing, and vice versa. It also seems likely to me that a person with strong political opinions is more likely to view an approximately neutral stance as further down the spectrum of bias against their own views. And for this reason, I understand that many might be suspicious about someone with an acknowledged political axe to grind creating a report, certainly I'm tempted to agree with the first poster about commissioning the Pope to write a report on atheists.
Nevertheless, evidence is evidence, and I think we need to surpress our instinctive reactions somewhat and challenge the report with further evidence rather than simply dismissing it with a 'they would say that wouldn't they" argument. In particular, the statement quoted does seem to have some basis in truth:
"On the issues of immigration and the EU in 2012, out of 806 source appearances, not one was allocated to a representative of organised labour," the study concludes. In coverage of the banking crisis "opinion was almost completely dominated by stockbrokers, investment bankers, hedge fund managers and other City voices".