For example, switching to the Earth revolving around the Sun from the Sun revolving around the Earth improved modeling of the solar system. Switching from assuming differences in the speed of light depending on the direction of light through the luminiferous ether to no preferred direction led to special relativity. On the idea of inverting a conceptual reference frame as a heuristic there is:
Preprint Inverting conceptual reference frames
Do you have other examples of how changing the conceptual setting led to solution of a problem in physics?