One of the problems with the example in the article is that it is explicitly designed to fool people in a hurry. (Even if you know maths.) It exploits well known heuristic issues in it's presentation.

So I'm not all that impressed with it.

On the other hand, the "more info doesn't help" research is fairly well founded. What works is to find alternative narratives. And (unfortunately) what also works is brute force repetition of narratives, as practiced by the right wing media.

You point to the context problem with your objections, but I'd expand on that. The right-wing media have helped create a complete distrust of supplied information. Their dominance makes those on the left distrust information supplied by supposedly neutral sources. And of course Fox et al. spend plenty of time reminding right-wingers that info from other sources can't be trusted...