Everyone on the center-left, regardless of country, regards their own subjective view of the world as a completely accurate description, and thus believe themselves to be unbiased. It's on display in the call-sign of the NPR station out of Lawrence, KS, which claims "unbiased news" (as if such a thing were possible). This is what's happening with Pelley.
I think we were better off before the center-left decided to pretend to objective, unbiased coverage of the news and we had identifiably partisan news outlets on both sides.