Does gravity's weak-field cousin secretly behave like full GR?

Gravitoelectromagnetism — the analogy between weak gravitational fields and electromagnetism — is usually treated as a rough approximation, but this analysis shows its spin-2 propagator is mathematically identical to linearized GR's graviton propagator. The spin-1 sector vanishes entirely from physical processes, and the coupling to matter (fermions, photons) reproduces the energy-momentum tensor coupling of full linearized gravity. The result suggests the analogy runs deeper than textbook treatments imply.