If you want to work in a non-inertial frame, and talk about things in a non-inertial frame, be our guest.
But geocentrism is not 'all frames are equal under god'. It's 'the Earth centred reference frame is the correct one, and all other ones are wrong'.
That's a stupid view, because we know that all reference frames are valid (just some are easier to work in than others). The moment you even concde that there is no physical difference between the two views, you've conceded geocentrism is a viewpoint that simply makes thinking about things harder than it can be, not a special 'god given' frame that places mankind in the centre of the world.
You are actually also missing my point. Playing with inertial reference frames doesn't help when talking about rotations and orbits. This is because accelerations, to include orbits and rotations, are the same regardless of inertial reference frame.
Once again, inertial reference frames do not include acceleration.
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