I would agree with you if we were talking about comedy or environmental programmes.
But not when it comes to news and current affairs. There is a clear 'establishment' bias there, combined with a history of Tories in key managerial and editorial positions - that influences the choice of stories and the angle for stories - even if the presenters or newsreaders maintain an air of neutrality with the items. Socialists and trades unionists are marginalised or ridiculed (Corbyn) on the BBC - although they do seem to have a lingering love affair with Blair.