I think you might find that the 0.97 you see is 1:1.097 ratio. The effect of ram on the compressor is simply to offload the turbines. But there is a minimum speed that the engine can accelerate from. This is set and controled by the FFR and is a higher speed than when windmilling.
This being the case, any fuel being used by the engine will impart power to the turbine thus driving the compressor and increasing the pressure of the air entering and so exiting the engine.
If the presure at the front were to be higher that the rear the fan would act as a turbine and the turbine as a fan so what happens to the energy imparted on the air due to combustion?