I too like the visibility of a pusher gyroplane, but having said that, I can see several advantages to a tractor gyroplane. Much less chance of something falling from the gyro and going through the propeller
(and maybe then being thrown into the rotor). I am not an engineer,but it seems to me that it would remove or greatly diminish the possibility of a PPO. On the other hand, there is less propwash to help
increase the effectiveness of the tail surfaces in low airspeed situations. Also, there are fixed wing airplanes that are set up as pushers, so the increased visibility is available even in those.
The tractor style can avoid the detachment of air on the walls of the rear parts. So the parasitic drag is easily halved.
The best streamlines of a pusher are far from giving that.
Hull carrying the tail is much more light, like all aircraft hulls.
In add the prop thrust is naturally centered and, associated with a tail dragger, its diameter can be increased: So, shortened take-off and higher rise rate.
Despite this little engine far behind, I almost choked on the first flight. The assaulted throat and the tearful eyes because the exhaust gases were coming up into the cabin from a lightening hole at the tail