Many cultures were burying things such as fruit, fish and cattle in fields before planting the seeds and burning fields after the harvest as a form of a religious offering without understanding what was going on, on a chemical level in the soil.
No one would think of burning “sky rocks” to make daggers and swords out of them either in a rational manner. But it makes sense that they would do so in some odd religious ritual.
Pretty much every initial technological advancement in human history was likely driven by an irrational thought completely unrelated to what would be achieved in the end before the scientific method was developed.
This strikes me as highly unlikely, considering how recently the scientific method was formalized.
It's hard to imagine, for example, that the Babylonians' or Egyptians' use of the Pythagorean theorem[1] was irrational, even though it undoubtedly had mystical and religious overtones to it. (The idea of separating science and religion as such is a relatively modern invention. The medievals called theology "queen of the sciences," for example,[2] perhaps due to their belief that rational study of the universe required a rational cause of the universe.)
[1]: https://en.wikipedia.org/wiki/Pythagorean_theorem#History
[2]: https://en.wikipedia.org/wiki/Theology#As_an_academic_discip...
Both activities are useful, and they're both rational because they're useful. (Obviously you can't try out every possible thing "just because," so formalized science has to prioritize.)
Most meteoric iron probably fell long before it was used. For instance the Cape York meteorite used by the Inuit for making blades fell 10,000 years ago. That's many thousands of years before the Inuit are believed to be in Greenland.