Yes, because truth matters. Facts matter. You'll note in the link I provided that accuracy tends to go down as bias goes up (either left or right, doesn't matter). So your "conservative sources" (or "liberal sources", for that matter) are usually going to be less accurate than middle-of the road sources. You can't discuss something intelligently if you don't have accurate information. And if you watch Fox, for example, you don't. By their own admission through internal memos revealed in the Dominion filings, they are about telling their audience what it wants to hear. When they didn't do that (calling the election for Biden), viewership dropped and so did ratings ("OMG! We can't tell people the truth!").

To take a silly example, we can't discuss why the sky appears to be blue if you insist it's pink. Both liberal and conservative sources, in general, are crap. Just look at the distribution in my link. Stick with the middle and you'll be better informed.

So, yes, I will criticize bad sources on either side.