No. The work emphasizes some mistakes in the usual textbooks claim that GR is fully equivalent to a massless spin-2 theory, when it is not.Have you missed the message of juanrga in post #182 where he shared the paper :
FROM GRAVITONS TO GRAVITY: MYTHS AND REALITY
What the above may mean is that any quantum gravity theory that uses spin-2 field can't recreate General Relativity. So it's like a no-go theorem for any field approach to gravity and a yes-go theorem for GR being geometry forever. No?
It is possible to derive GR (geometrodynamics) from a field theoretic approach to gravitation, but as an geometric approximation. Somewhat as geometrical optics is an approximation to physical optics based in fields.