Well a model is also reality of course. To point out insufficiencies in the model, does not deny that modelling is the proper procedure for doing science, it rather confirms it by saying it is an insufficiency. You would want to make progress in getting rid of insufficiencies, and progress can and is being made. It makes no sense that you give up on having an exhaustive 1 to 1 model.
That mathematics is the theory of everything suggests that our minds, as excellent modellers of the universe, are little universes in their own right, that minds have the same mathematical ordering as the universe proper, that they are also ordered by zero as mathematics is ordered by zero.
So to say, a mathematical model of the earth has to be placed in the framework of the general ordering of mathematics, the theory of everything. I think that is the more important point than what is also true, that many aspects of the earth only exist in relation to other objects like the sun.