Its not anti science to not blindly trust science. Its actual science to try and verify observations. Sure, most people dont have those skills to properly know what they are observing, but I think its good if people try to learn.
I learned tons of stuff about the common pitfalls about measuring the curvature of the earth by looking at flat earth arguments and seeing what science says about them.
Today you can throw those arguments into chat gpt and get a decent summary of how anything actual works.
Using lasers to track earth curvature across a big lake for example, absolutely fascinating to see why it doesnt work as you may expect.