I think that may be true, but only because what is widely considered and presented as fact by the most mainstream sources of information actually have a significant center left bias. I think it's generally missed because people confuse bias as having to do with having a more extreme political position, when you can actually be biased in favor of any part of the political spectrum including the center.
As someone with a left-leaning bias, I agree with your assessment, if only in the sense that the loudest and most powerful voices in the most reputable newsrooms tend to also have (implicit) left-leaning biases. I would love for their to be a conservative equivalent (this was the reason for the founding of Fox News pre-Ailes: get a bunch of conservatives in the newsroom and have them do their jobs to the best of their ability, following an implicit rather than explicit bias).
Does any equivalent exist today (eg trying to report as an outlet run by conservatives instead of a conservative outlet)?
In the case you describe, "they" tend to be a) propagandists and b) poorly-informed people robotically repeating the last political meme those propagandists spoon-fed them.