[msclrhd]

It depends on the show and the presenter. John Humpfreys was very pro-Leave -- there was one segment on the Today program where he was interviewing someone advocating for a people's vote and angrily asked them how working people would feel betrayed (or something to that effect); meanwhile, he was very soft when interviewing Gove and other Tories. The same applies to how the Today program focused its vox pops on Leave-voting areas.

Likewise, if you look at something like The News Quiz, that and the presenters/guests are left wing and pro-Remain.