Yeah but you missed the point op was making
The search space is huge, we sometimes find needles in haystacks by accident, isn’t it exciting that we have tools now that can systematically check every piece of hay?
Innovations like these are more about ‘shocks’ that surface fitting cannot capture.
Note universal approximation theorem applies only to smooth surfaces.
If ops point was rather that “accident”/“luck” are uniquely human… I don’t agree. Luck is when probability works out in your favour - and that can happen all the time with any sort of probabilistic search, which is rife in ML.