The invisible hand, along with homo economicus, have about as much basis in objective reality as the Ptolemaic model did.

No, the Copernican system had epicycles as well (at one point, more than the Ptolemaic models of the time).

Ptolemaic model, the Copernican system had /no/ advantages for simplicity or accuracy!

The ones issued with his sister-wife display a fine double portrait and they adapted a Ptolemaic model for coinage.

These motions are similar to the deferent and epicycle, respectively, of the Ptolemaic model of the solar system.

He rejected the Ptolemaic model and instead argued for a strictly concentric model of the universe.

He wrote the following criticism on the Ptolemaic model of planetary motion:

The Ptolemaic model is therefore wrong.

It took about 200 years for a heliocentric model to replace the Ptolemaic model.

It was not until 1543, and Copernicus's heliocentric theory of the world, that the Ptolemaic model was finally challenged.