The phase shift observed in the experiment is a magnetic recoil phase, with all uniform gravitational contributions cancelling, so the experiment does not test the equivalence principle.
High-order inertial phase shifts for time-domain atom interferometers
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Magnetic recoil interferometer in a uniform gravitational field. Comment on Observation of the quantum equivalence principle for matter-waves
The phase shift observed in the experiment is a magnetic recoil phase, with all uniform gravitational contributions cancelling, so the experiment does not test the equivalence principle.