Great example.
I was listening to another mathematician talk who gave a somewhat similar example. Suppose Neil Armstrong somehow teleported to the moon. That would be an achievement and it would make us very excited. But if nobody understood how it happened, none of the technological progresses that came out of moon landing program would've happen.
I'd imagine that it'd be like the Hitchhiker's Guide to the Galaxy when the answer is 42. The answer itself is not sufficient, we need to understand to appreciate.