Also, the Simpsons did it. https://www.youtube.com/watch?v=6vxHkAQRQUQ
Similarly, wre can't really expect everyone to know or care why evolution/heliocentrism is a settled topic but it's really helpful for them to trust the scientific process regardless.
This would be fine (mostly). But this isn't what they mean. They believe scientists. Not the methods. This defeats the entire purpose of science.
I find it hard to believe that you've found such a specific correlation in a domain where the numbers are large and half the equation is so nebulous ("these people", i.e. people who often say out loud "we believe in science in this household"??). This is ripe with identity politics, and you're almost certainly projecting your feelings about "those people" as though there is a real correlation that makes "those people" worthy of condemnation.