Yes, it really matters. In the middle ages, there were mathematical formulas which described the planets and sun revolving around the earth. The math worked very well even though the theory was proven to be very wrong.

There is nothing "wrong" with most of them. Except some of those that had slight mismatch between theory and observation that were fixed by taking relativity into account, most of the theory was not "wrong". Some were wrong because of insisting on circular orbits instead of elliptical. But geocentricity by itself never was "wrong".

Geocentricity does make lot of calculations so complex as to be not doable without computer assistance that came much later into wide acceptance of heliocentricism. That also leads to inaccuracies in calculations.

I repeat - while heliocentricism is preferable, geocentricism is not "wrong".