I start from:
Mankind ... lacks {a comprehension of} Scale and Relativity
That generalization extends from the physical --> metaphysical. On inspection.
It is intuiively Obvious that This Is So / Proof? Schmoof!

Einstein IMhO near-perfectly gives us an example of the 'form' of a proposition which acknowledges our inability to 'reason' at the fringes, in his iconic
As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.

Gödel hypothesizes, nay 'Proves' his assertion of incompleteness [even as you 'refine further'], with similar perspicuity to Æ's.
[We Know that the word 'Proof' is strictly-valid ONLY with a mathematical context.]

Whereas ...
These chaps wish to argue analogously to "doing Newtonian physics to plot a trajectory of a particle entering the 'event-horizon' of a [By Definition, singularity!] Black Hole." In plain English, "singularity" in math-speak is congruent to Medico vagueness When They Don't Know: oft expressed via the pompous annoucement, implying his 'knowledge' of your malady --

Madam, you have "non-specific vaginitis". cha. cha. cha.

J'accuse all parties to this tempest from the n-body problem onwards: the key MIssing Comprehension connecting all the mentioned 'uncertainties' might be explained by a Meta-pronouncement,
{that is ... an attempt to see-from-that-Higher perspective: which we notice lies just-out-of-Reach)

Reality ... is a bloody concept ONLY! (like, say 'Absolute Truth' or any synonym for Certainty about Anything)
which is always in metaphysical territory, as it is about! that ineffable Scale/Relativity THINGUMBOB .

Ergo the linked machinations are merely artful smoke-rings. Nothing was 'clarified' because the ineffablle does not Work that Way.

Rest case.
{sigh}

PS: and ALL THESE tempests ever FAIL to acknowledge a 'ratio' which We Know We Do Not Know™, nor CAN-by-definition!
It has only partly-to-do with the ummm truthiness-quotient? factor? within every factoid we suppose that we Already 'Know', but also
etiology, taxonomy, language, metaphor -- as intrude into any topic we rilly rilly Want to think We Know.

Ratio:

That Which We Know
ALL Which Remains UnKnown

Parse that, one, Sophists! I pick 0/0. It's a nice round non-number; OK

0.000000000
0.000000000

ie. We don't 'Know' shit, really -- it's all maya which dances within the little grey-cells in a chemical soup.
But the WILL to Amuse selves transcends transcendence.

;^>