Organized religion is getting better at accepting God's universe(s) recently (last 100 years or so).
Terra really does orbit Sol in an ellipse. As do the other planets and stuff in this solar system. It took a while for that to be accepted by organized religion, even with the evidence that God provided.
I had assumed you were referring to religions centuries ago...but, remember...they were the scientists most often and the debates were similar to today.
Indeed, think about the blacklisting scientists who do not drink from the global warming dogma suffer in grants and promotions at university’s etc. Heresy is now the dominion of science more than “organized religion”.
On the other hand, change takes time generally to accept in science. Like Intelligent Design rather than the failed philosophy of Darwinian Evolution theory. It will take another generation for widespread acceptance, but it will be accepted.
Well, if you want to get picky ... no. Elliptical orbits solve the Newtonian two body problem, and hence represent a conceptual advance over eccentric circular orbits, but Kepler's third law may be disovered to be in error by checking against Norton's Sky Atlas with a calculator. This is not to mention perturbations. So even within Newtonian dynamics the ellipses are an idealization.