It really forces us to consider, what IS space? Is it "something" beyond emptiness? If not, "what" does GR predict is curved in the presence of energy?
Space and energy would seem to have a codependent existence, as energy occupies space, each of them necessarily three dimensional.
Empty space, if it could be, would have no energy, but is more like the nonexistence of energy; however, one cannot exist without the other. While nothingness is the absence of all things, space is the lack of something, and that something is energy. There’s a bit more to it, but this concerns ‘nothing’, which is not the subject here.