I would add that EBM took over because science-based medicine (at least the historical definition, how it's used now is more of a hybrid) didn't work out too we

I would add that EBM took over because science-based medicine (at least the historical definition, how it's used now is more of a hybrid) didn't work out too well. Often the mechanism thought to be understood is incorrect or more complicated and the outcomes don't correlate well with what's expected, sometimes resulting in significant harm. Fundamentally, the mechanism of why a medical intervention works isn't that important if you're thoroughly evaluating outcome measures and controlling confounders.