That's a very interesting study, but I think it's quite spurious to connect this result to media quality/partisanship the way you do. Certainly the study doesn'

That's a very interesting study, but I think it's quite spurious to connect this result to media quality/partisanship the way you do. Certainly the study doesn't make this connection. After all, surveys tend to find that Fox News viewers are less informed about domestic and international events than consumers of other news media (one study found them less informed than people who did not watch the news at all). So I don't think this effect is caused by media. Haidt's study uses his five moral foundations model, where one's moral foundations are characterized by five dimensions: harm/care, fairness/reciprocity, ingroup/loyalty, authority/respect, and purity/sanctity. The first two are called "individualizing foundations" and the last three are called "binding foundations". Haidt's findings in other studies (which generalize beyond just the US or the West) are that people across the political spectrum care about the individualizing foundations, but progressives care more about these foundations than conservatives. But progressives care much less about the binding foundations. With this in mind, I don't think it's too surprising that conservatives have an easier time estimating the viewpoint of progressives, since the moral foundations of progressives are not alien to conservatives, they are just weighted differently. Whereas for progressives, the moral foundations of conservatives can feel utterly alien and inexplicable, especially if they tend to have their social interactions in a progressive bubble. (Also, be mindful that the population sample of the study is nowhere close to a random sample of the population. The sample is over 60% female, overwhelmingly young (median age is 28), and liberal participants outnumbered moderates and conservatives combined. Since it's an online survey, there's a reasonable chance that you're mostly reaching urban people, which tend to live in progressive bubbles. Conservatives who live in areas that are mostly progressive may understand progressives better than those who live in conservative bubbles. The study acknowledges this in the discussion section. The result might still hold up, but the effect might be exaggerated by the sample.)