I mean, the right has a similar critique of the BBC: 'the outgoing Leader of the Opposition's Director of Communications learned his trade from his daddy running the whole BBC', 'The presenter of the BBC's flagship topical news discussion programme has had successful complaints held against her about her treatment of a right wing guest' and 'the BBC is frequently accused of having a liberal bias by its own journalists, including some who aren't notably right leaning or confrontational'. And it's equally insubstantial about actual reporting - with complaints about that having been upheld on both sides for various programmes over the past.

Apparently people who present political programmes sometimes have political views and differences of opinions, and sometimes get hired by partisan bodies. Who knew? FWIW the current Director of Communications for the Conservative Party in Number 10 is a guy who was previously employed by an outspokenly Labour-supporting tabloid to chase round previous Conservative PMs dressed as a chicken during election campaigns. And the BBC's most outspokenly conservative journalist Andrew Neil is someone the left were desperate to see interview the Conservative party leader in the run up to the election on the basis they expected Neil to absolutely savage him.