Bold is mine.
So, the conclusion is that you do not support GR but you support GR maths!
The concept of Spacetime goes to the root of GR, if this concept fails then GR fails.
you want to tag along with GR because you have borrowed its maths, but intrinsically you are not with GR. Quite sticky position you are in.
Have I ever said I support GR? I support my own ether theory of gravity. Which gives, in some limit,
the Einstein equations of GR. Only if I'm extremely tired and sloppy I would write, instead, that it gives in some limit GR. See for example
http://ilja-schmelzer.de/ether/
But I support also a little bit more than only the math. But also how this math is connected with what experimenters measure. The most important example is the formula how to compute, from the solution of the gravitational field $g_{mn}(x,t)$ and a trajectory of a clock $x(t)$ the clock time shown by the clock. So, I support also some predictions about what real clocks will measure as their clock time. Which is obviously more than math alone, it has some well-defined connection with reality.
And, even more, if one takes some part of the mainstream (positivist) ideology seriously, and ignores all the metaphysics of GR, restricting oneself to claims about observable, physical facts, then the part which I share is essentially all what GR tells. All this spacetime talk is essentially metaphysics, not testable in any experiment.
So, if one takes this anti-metaphysical position seriously, "[t]he concept of Spacetime goes to the root of GR, if this concept fails then GR fails" should be rejected as wrong. You would be obliged, instead, to ignore it as metaphysical.
Fortunately for you, this does not mean that you are really wrong about this. Because this anti-metaphysical philosophy is wrong, in conflict with the established mainstream philosophy (which is Popper's methodology) and is so influential only based on tradition (positivism was the leading philosophy during the time of the relativistic as well as quantum revolution, Popper came only 1935, the English translation much later). That positivism remains powerful has, unfortunately for science, the fatal consequence that a serious scientific discussion about the metaphysics of the leading theories does not exist. So, every scientist is doing his own metaphysics. And the GR mainstream is doing spacetime metaphysics, and if spacetime metaphysics would fail, this would be fatal for them, and they would consider this as a failure of GR too.
The situation may be sticky for them, but certainly not for me. Because I'm open to a rational discussion as of the spacetime metaphysics itself, as of the scientific methodology which shows that physical theories contain (and have to contain) metaphysical parts, and the only problem I'm faced with is ignorance of these questions and refusal to discuss them.