Sure, go ahead. The Grauniad in particular is incredibly biased, and often just as wrong as the Daily Heil.
Pro tip: factual news sources don't exist, and never did. Pining for the good old days when you could rely on what you read in the press is daft - all you're picking up on is the age of instant fact checking makes it harder to ignore that every source is biased.
I never said the press had a responsibility to ram opinions down our throats. My point was that they don't have any responsibility not to. Reading opinions from both sides is indeed the key. Though I think we can be forgiven if we ignore both the Heil and the Grauniad.