Do you think they'd recognise their own bias? That would be like saying "we can't do journalism properly", because proper journalism is unbiased.
I'd rather have reports from sources that don't try to pretend to be unbiased.
I'm not entirely sure about this. Trump's been eating the media's lunch in interviews; perhaps a more biased approach acknowledging his interview games would actually lead to better reporting.
Bias is an integral part of journalism, it's up to the reader to understand this fact and collect information from multiple sources (if they're so inclined).