This is a rather simplistic opinion…
The ship’s propellers must not push the ship to climb the waves; even drifting, powerless ships move up and down. The waves lift the vessel up; therefore, to account for the energy transfer, the wave’s height will probably diminish by some millimeters, locally.
The water movement inside an undisturbed deepwater wave (e.g. swell) is vertically circular.
In a big wave, the water movement at the surface goes always with the direction of the wave’s propagation, on the crest or the through; the backward movement is far below the keel of any ship.
For this reason, oceanic swell goes always straight forward, the Coriolis deviation has no influence; there is no displacement of masses, they go just back and forth.
When the waves are locally wind driven, or when they reach shallower waters, they become steeper, then these natural movements of the water become disturbed.
It is always more economic per mile to proceed with the waves, than against them…