Far-field photoluminescence probes only the light-cone corner of an exciton's momentum content, whereas energy transfer to nearby graphene integrates in-plane momenta up to the inverse spacer thickness 1/z. For a WSe₂/MoSe₂ heterobilayer we build the transition polarization Pₙ(qv) of each localized moiré exciton from the registry-dependent vector dipole texture and use each Pₙ for both baths. The two baths rank the states differently: the graphene-rate ratios differ from the optical ones, their ordering inverts with spacer thickness, and the distance exponents at z=10 nm spread by more than two units. These ratios are independent of the transition-dipole prefactor. Within the C₃-symmetric leading-harmonic model the chiral p₊ and d₋ states are also dark at normal incidence yet transfer to graphene at rates comparable to the bright ground state. Their graphene rate depends on the sign of the texture phase, a quantity invisible in far-field emission, which we determine from first principles. In a device this prediction requires a splitting, larger than the symmetry-breaking mixing, that protects the chiral partners. Graphene proximity thus acts as a momentum-selective near-field probe of moiré excitons, and we propose its use as a practical spectroscopy.