The only evidence I have that we need evidence to support our claims is the entire history of applied science (including all technology and, yes, engineering).
Claims that don't need evidence, or that people still support despite the absence of any evidence or, indeed, despite the presence of overwhelming evidence to the contrary, are the preserve of religion.
Good point. But since there is also evidence that many people don't need your kind of evidence, it's only a point.
How do we know that many don't need that evidence? We wouldn't have a pandemic if people needed that kind of evidence. And we certainly wouldn't get vaccines for Covid if people even cared about real evidence this way and that.