As Brent says we have to bear in mind that SR is a model of reality. The ontological status of its components is another question, as it is with every theory. Most physicists have assumed that either space-time really *is* a 4D manifold (Max Tegmark for instance), or it's something else that is very well modelled by one. The truth is most likely the latter, but that it's emergent from something simpler - LQG, CDT, M-theory, comp, and so on all assume "something simpler". Whatever it emerges from probably won't have space or time dimensions (which will make it even more problematic to worry about the possibility that it isn't "all there eternally" - or however you'd like to characterise a block universe!)
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