Minimally coupled kinetic-gravity-braiding models can cross w = -1 with stable perturbations and remain broadly consistent with current data, so phantom crossing does not uniquely favor conformal coupling.
Raveri, Reconstructing gravity on cosmological scales, Physical Review D101, 10.1103/PhysRevD.101.083524 (2019)
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Non-parametric exploration of minimally coupled gravity with phantom crossing
Minimally coupled kinetic-gravity-braiding models can cross w = -1 with stable perturbations and remain broadly consistent with current data, so phantom crossing does not uniquely favor conformal coupling.