For me, I tend to apply this sort of reasoning when I'm first encountering an author. If I read blatantly false statements from someone who I have no knowledge of, I've noticed that I'm very likely to put the book/article aside. If I have any experience with the author, however, I've noticed that I read sections that I disagree with very carefully, often several times.
I suspect that I'm applying the halo effect to the articles from authors I like, and anything I dislike becomes jarring and therefore much more interesting. It's been beneficial, though. I feel like I've learned much more from passages I disagree with, but this could also be from having spent more time on them than other sections. Does anyone with speed reading/material retention experience notice the same effect?
In Techniques of the Selling Writer, Dwight W. Swain gives advice on receiving advice:
One way to reduce damage done by cached thoughts is to cultivate a habit of asking questions about the origin of the thought. Do you remember where you heard the thought? Did it come from someone practicing good epistemic hygiene, or do they just unthinkingly pass on anything they hear? If somebody offered advice based on their own experiences, how representative is their experience? What kinds of experiences have they had that prompted that advice? Are there alternative ways of interpreting those experiences? Or if you're the one offering advice, which you came up with yourself, what situation led you to come up with it? How generalizable is it?
So far I have mostly been framing this as a way to notice flaws in seemingly good advice. But there's also an opposite angle: finding gems in seemingly worthless information.
All outcomes are correlated with causes; most statements are evidence of something. Michael Vassar once gave the example of a tribe of people who thought that faeries existed, lived in a nearby forest, and you could see them once you became old enough. It later turned out that the tribe had a hereditary eye disease which caused them to see things from the corners of their eyes once they got old. The tribe's theory of what was going on was wrong, but it was still based on some true data about the real world. A scientifically minded person could have figured out what was going on, by being sufficiently curious about the data that generated that belief.
Some people tend to stop reading a text whenever they come across blatantly incorrect statements. I mind much less. Yes, the person may be generally mistaken, but they may still have some worthwhile points mixed in. Folk theories can be useful, even when they're entirely wrong. What you're reading is somebody's interpretation of an event, which provides information about the event even if the interpretation is wrong. Can you come up with a better interpretation?
Maybe you disagree with something that I've said here? In that case, what data do you think generated this advice? What conclusions would you derive instead?