So you are saying that the rate of change of momentum of a body over time is not just proportional to the net external force. It also depends on what that force or those forces are acting against.
Are there any of Newton's laws that you agree with?
You are used with a single medium but this vehicle is between two mediums. So if you take 10W from one medium and use that to push against the same medium there is nothing to gain but you think that pushing on another medium that is at different speed gives you some extra and that is not the case.
10W put in to propeller will provide you 7W of thrust to vehicle (assuming that 70% efficiency) so vehicle will slow down if there is nothing else to help.
Ideal case taking 10W from the wheel for 1 second results in vehicle kinetic energy being 10Ws less. So if you take all this 10Ws and put it in to ideal propulsion pushing against another medium you get back what you lost in kinetic energy nothing more.
So now you can look at speeds and say wheel speed is 5m/s it means breaking force was 2N
And if say the other medium you pushed against only had 2.5m/s you will have needed 4N to be able to push with 10W for 1 second and get the vehicle kinetic energy back to where it was.
You see the 4N is higher than 2N and you think vehicle will gain speed but that is not the case and in ideal case the vehicle will just be able to maintain speed.
The problem is you are confusing the force at the wheel with forces acting against the vehicle.
Using Power only or Force and speed needs to provide you the same exact result if you interpret what happens correctly.
The Power equation is hard to mess up so is clear you wrongly understood what force at the wheel or propeller means in this case and that is different from force acting on the vehicle as vehicle travels on one medium takes energy from there and pushes using that energy against another isolated medium.