Who rotates relative to whom? Earth VS Sun

Peace be upon you, Rabbi.
I have a claim and I wanted to put it to the test here.
When they "say" that the Earth revolves around the Sun, is that not absolute, right? I mean, it depends on what the reference point is, right?
ZA: Is it also equally true to say that the Sun revolves around the Earth when the reference point is the Earth, and then the model of this phenomenon will have equations that are obviously different than in the previous reference – but with a much more complex complexity. And if this claim is correct, perhaps we can say that the entire universe revolves around the Earth, when the equations of this model have not yet been developed, because they are too complicated?
What I mean to say – is the complexity/simplicity of the model an indicator of the correctness of the model? And if so, I would be happy to see proof or other examples that confirm your claim or hypothesis.
Regards
Moroccan Baba 🙂