Also in the Tycho Brahe system Earth is at the center of the solar system but it is equivalent to the Copernican one, you can just change the coordinates.
And that was a complete mess if a system when you start considering moons orbiting around planets orbiting around the sun orbiting around the Earth. Not to mention anything outside our solar system.
I don't know what point you are making. That's how observation works... The observer is always at the center of their own universe.