Pretty much all mainstream media outlets did, at some point, publish something that can be qualified as "bad propaganda" by at least some of the observers. Now, either you filter out pretty much all the internet except maybe for bare statistics, numbers, math, etc., or you say "well, these guys are not as bad as those guys, because obviously being completely wrong about X much worse than being slightly less than right about Y", at which point you are just implementing your own biases.