Return current in a pcb stripline

In a pcb stripline with ground reference planes above and below the signal trace, I understand that the return current will split between both planes and return to the supply.

What would happen if one of the planes was not connected to ground or anything else in the circuit (the plane is essentially floating)? Would there still be a return current in that plane?

If the curl of the magnetic field is equal to the current density J plus the displacement current, I think that the curl of the magnetic field must be non zero on the surface of the floating plane and there either an actual current or a displacement current must flow there (I say this as there should be a circulating magnetic field around the signal trace).

Is it possible for current to flow in the floating plane and return to the supply? Can this work like a capacitor where there is an open circuit but current still flows?