It makes sense to me. Conservative media likes to portray "science" as an unfair threshing rod that separates the wheat (career academics) from the chaff (you and I). College is expensive, so the popular perception is that normal people can't be scientists, you either have to be rich, or sell out for grants. Studies are locked behind paywalls, which furthers the idea that science is only for the select few, and the media says you're just not good enough for science.
Then there's the vibe that saying "this doesn't make sense" just outs you as a lolcow to be mocked mercilessly. Combine that with an understanding of "anecdotes aren't data" as "your experiences don't matter", and it makes sense that they feel like science is hostile.
