If you look at the nose down attitude of the MP in forward flight you would notice that the fuselage presents a very large area to the airflow. A lot of drag. Not only a lot of drag but it would push the drone down and more power is required to overcome that as well
The drag function is D=1/2 r c V^2 where r is the air density and c is the coefficient of drag for a given body pitch angle.
The current MP sees the value of c go up as a function of V.
If the rotors would tilt to provide forward thrust then the body pitch could be 0, presenting the least body drag at all times in forward flight so c (above) would remain constant. So less power would be needed for a given speed and/or max speed could be dramatically higher. With today's actuators it would be a modest additional cost and no reliability penalty for a well designed system. And no "down push".
Note that racing drones are going to tilt because it allows for a lower drag profile thus higher speed or smaller batteries at a given speed.
This would allow for unusual photography - upside down under arches, bridges, etc - as well.