The GCTs connect "points" (field configurations & colliding test particles) on the same GAUGE ORBIT.
"Frefos" (Susskind) if they are LIFs non-rotating on timelike geodesics, otherwise they are "fidos" (Susskind) either translationally accelerating and/or rotating about their centers of mass.
The local Euler-Lagrange equations of motion from the global action principle are now covariant under all pair-wise COINCIDENT local frame transformations no matter what the motion of each local frame detector is (as long as its inside local light cone).
The vacuum solution need not have this symmetry. That's spontaneous broken symmetry with Goldstone-Higgs bosons. However, the GCT invariant gravity fields themselves, i.e. tetrads and spin-connections are induced spin 1 LOCAL gauge fields. One gets spin 2 from pairwise entangled spin 1 pairs. So the guy who wrote that gravitons are Goldstone bosons got his ideas garbled I think. There are Goldstone bosons in emergent gravity, but I don't think they are gravitons. They may give rest mass to some gravitons like in the W-boson and superconducting photon cases.
Gravity, electromagnetism, weak and strong interaction are ALL induced local gauge spin 1 vector fields from different symmetry Lie groups. Einstein's metric tensor gravity is a composite structure.
Indeed, the gauge vector bosons are themselves entangled pairs of Penrose-Rindler-Newman 2-spinor Wheeler-Feynman advanced and retarded QUBITS as in Wheeler's
IT FROM BIT
Massless Goldstone phase quanta and massive Higgs amplitude quanta in spontaneous broken "superconducting" vacua are different, though they may interact with the gauge vector bosons and the spinor leptons and quarks.
Redundant excess mathematical noise that obscures the physical signal. It's true, but it makes no difference to anything of physical interest.
What's PHYSICALLY important is that GCTs are just GAUGE changes of appearance of the same objective reality OUT THERE relative to COINCIDENT accelerating non-geodesic detectors. It's exactly like in special relativity, except now the frames can accelerate and rotate and now they need to be small and COINCIDENT even if they look at same far-away quasar through a gravity lens like in Wheeler's delayed choice experiment.