It's true that Newtonian mechanics remains useful despite being based on a now falsified premise: time is a constant. Although his laws eventually break down, they do not lose all their power to predict effects from causes under certain common conditions.
Popular myth holds that Ptotomeic cosomology was conceived by dull-minded early men arrogantly imagining that God must have placed us at the center. But no. It was based on centuries of documented observation (now called "data") and brilliant reasoning. The predictive power of this well developed model was excellent, even after it was overturned.
So are these revolutions somehow categorically different? It's easy to think so, but that's based on an illusion of mind. Geometry is somehow much more tangible or "factual" in our minds than time. But is a flaw in the position of objects really more fundamental than a flaw in the understanding of time?