> I think in general most people in society don't really have the ability to differentiate bullshit science from real science.
I would say in many ways they can't, at least not without significant time investment every time they need to make that assessment, which is often.
A domain expert is likely able to identify the smell of bullshit in their field extremely quickly. An expert in an adjacent domain will be able to apply some of their expertise, but not all, and sniff out some problems, but other might elude them. That is, a physicist might be able to note some likely problematic parts of statements to do with biology based somewhat on the science, somewhat on the shared methodology, and somewhat on the shared politics they might experience.
A layperson may have very little experience to draw upon for some scientific statement, and even when they have experience with the underlying principles (a general interest in the area, experience in college), that may not be enough to identify problem areas. That's not a problem we can expect the layperson to be responsible for correcting (at least not beyond a healthy skepticism), unless we expect them all to increase their knowledge in every domain that they might make an assessment about (this happens, but it happens at a societal level, and over the span of many years).
Psychology seems to share relatively little with most hard sciences, so it's particularly hard for both laypeople and scientists in other fields to assess without effort (as evidenced here though the multiple stories of people that put in that actual effort).
I'm not sure we'll see improvement on this issue until we have better norms about communicating results. There's a natural inflation that happens when different parties take a finding and explain it, and possibly over-emphasize portions of it. That this happens twice now, once with the PR department associated with the group doing the study and once by the media that goes by what the PR department say, means that the average person gets a very distorted view of what's actually going on.