The FE model states that there is no gravity,
This is not correct. The FE model asserts that there is no attractive force between the Earth and the stuff in its neighborhood. In the language of GR, the FE model asserts that spacetime in the neighbordhood of the Earth is flat and that we are accelerating through it.
GR makes it possible for an observer to believe that he is not accelerating when he discovers the convergence of test particles, but rather that the spacetime around him is curved. Surely, therefore, it must leave us free to determine the opposite, since the two situations must be equivalent.