There would certainly be a great benefit in occupant comfort!
The aircraft would get greatly increased drag of its large frontal cross-section and lose most of the lift that the rotary wing normally produces. It's not just a propeller turned upwards, but an actual wing, producing lift on the same principles. Helicopters require far less power to fly forward than to hover thanks to this dynamic lift.
Some occupants don't appreciate the improved ergonomics of the depicted position and prefer that only the rotor is tilted forward. To them, the solution is tiltrotors like the V-22 - you get to use the rotors as huge propellers, but not the massive drag from tilting the entire plane. Note the rotors are also sized somewhat smaller than for a pure helicopter, and still their size is a source of extra drag in flight.
In the drone world, when designing from scratch, there's been a much more elegant solution - the Parrot Swing. And yes, it's probably the first aircraft to look like the X-wing for entirely practical reasons. But remember that quadcopters (drones) are not normal helicopters; they use differential thrust from simple fixed propellers for control, not complicated rotor assemblies that keep each blade at proper pitch.
Simply attaching big wings to a heli won't let it fly this way for long, but special craft that take off as helicopters and fly like planes can and have been built.