That kind of thing just proves how important intuition is in framing an argument. People have a baseline and expect evidence when something goes against that baseline. But different people have completely different baselines.

The other common area for this is nuclear power (is it easy?) and climate change (is it fragile?). At the heart of those debates are deeper philosophical questions that have little to do with science. But it is always easier to throw around stats than grapple with that.