Please see my response to the previous objection in the thread (the sibling comment to yours) requiring specific examples of progress which would silence the critics - it remains unanswered.
> Consistency is a good thing
Lots of close but in the end ineffectual "epistemic" systems were internally consistent but in the long run they proved "deficient" (as in other, more efficient systems took their place). I confess I've never read Thomas Aquinas's work (to give just one example) but I'm pretty sure his "view of the world/reality system" is pretty consistent, don't think there are any internal contradictions in his writings. Problem is his internally consistent system wouldn't have been able to allow us to build combustion engines or modern electronics, so that we have had to come up with other internally-consistent "epistemic systems" that proved to be more efficient (because they allowed us to build and reason about combustion engines and modern electronics).
In the end and in the great scheme of things I don't think this theoretical physics road-block will be of any great importance for the general public, it looks like people are content with what they already can purchase based on past physics-related discoveries. Yeah, traveling through galaxy wormholes or getting to 100% know if the Universe is finite or not would be nice things to have, but people just don't care and there's nothing wrong with that.
Even if we look at the "greatest" post-WW2 maths result, Fermat's Theory, I don't see any new reality-related insights that it has brought us, and I'll go another step further and I say that even if we were to someday prove the Riemann hypothesis I don't see how it would fundamentally bring new insights regarding "reality"/the physical world.
If anything, I dare say that in a certain way maths has tainted the physical world for us, has made us believe that in the same way in which mathematics is "homogeneous" then the physical world is too, if maths has numbers and "units" and if (1002 - 1000) = (2002 - 2000) then it also means that in the physical world we have homogenous "stuff".
This is why physics has started using mystical-like language like "elementary particles" which are seen as the "foundation of the physical world", with the implicit premise (if I'm wrong here, please correct me) that given a certain "elementary particle" (let's say a boson) then the boson close to it or the boson situated at the other "side" of the Universe are pretty much the same thing, almost identical, the same way as the mathematical difference I mentioned above is the same, or how two parallel lines are "the same".
Basically almost all the theoretical physicists have become Platonists by embracing mathematics no-questions-asked, when in fact they should have remained closer to Hume. And when reality hits them in the face pretty hard they resort to even more mysticism by "inventing" concepts like dark energy and the like.
Later edit: I see that that "homogenous reality" theory even has a name, Cosmological principle [1], and as a close-enough Hume follower Karl Popper was quick to dismiss it. By reading it you have to wonder what those physicists had in mind when they wrote it down:
> Although the universe is inhomogeneous at smaller scales, it is statistically homogeneous on scales larger than 250 million light years.
like, why 250 million is ok and 240 million light years is not ok? To say nothing of the fact that the "infinitely small" (the mystical-like elementary particles I mentioned above) are ignored completely from this discussion, they're also probably seen as "statistically the same". As I said, this "statistical sameness" has made us believe that more than half of the Universe we know of (68%, to quote Wikipedia) is made out of the mother of all mystical thingies, "dark energy".
Nothing mystical, but there certainly are deep questions, which is why we have the various interpretations of QM.