My original assertion is that there there are right-leaning news outlets and left-leaning news outlets. That's a fact. Neither side has a monopoly on bias. Some are less partisan. Some are more partisan. Both cater to an audience just as any business does. If you want to claim that conservative outlets have less bias, then you'll need some evidence. I think that's a rather heavy lift. By definition, a conservative news outlet is biased towards the right. 

The real problem is that most audiences don't look for unbiased reporting. We get what we pay for, and this is largely what we want.