The BBC IS owned by the government of the U.K. That does not change the fact that its reporting is objective and that its news deals in the truth. And paid for with taxes, what is inherently wrong with that?
And you talk about "favorite" news outlets. They ARE my favorite, yes, but because they are the most objective, deal in facts and tell the whole story. When THAT is the case, who cares who owns them or how they are funded?