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.

I try to stop reading whenever I come across sufficiently strong evidence that finishing it will provide less insight per unit time than a cutoff value, which is adjusted based on the length of my reading queue and the marginal value of my time. Blatantly incorrect statements are evidence of this, and if an article says sufficiently wrong things before it offers any novel positions or insights, I do stop reading. As a defense against confirmation bias, I penalize incorrect arguments much more strongly if they argue for positions I already agree with.