Fully-enclosed machines have an awful lot of area forward of, and below, the CG to try to balance with a H-stab on a short tail arm. The drawings in the Japanese video suggest a combined pitchover and rollover. The latter can result from a combination of engine torque and low center of drag when the craft enters a slip or skid. Uncommanded slip-roll is an old story in gyros, dating back to the early days of the Air & Space 18A.
A smallish H-stab, mounted low, is not going to be much help with slip-roll instability. It may even ADD drag down low when slipped sideways through the air. Short vertical fins, with their aerodynamic centers well below the aircraft's CG, are apt to add to the rolling tendency, too. Ideally, the body pod and the tail group will both have aerodynamic centers as high as the aircraft's CG (i.e. center of mass). Designers who insist on a "lowrider" look make this goal impossible to achieve without auxiliary fins/wings added just to prevent slip-roll.
Cierva & Co. took some pains to address this problem, using wide mast fairings, and even a vertical fin mounted ABOVE the rotor, to prevent divergent slip-roll coupling. The high-dihedral wings on the earlier Ciervas would have done much to prevent this type of instability as well.
It would be helpful if people designing these things would test their airframe's zero-G stability with cheap scale models, instead of exploring the coffin corners by using customers as living crash dummies. "Test their airframe's zero-G stability" is a fancy way of saying test the stability of the airframe WITH its tail group and body pod but WITHOUT its rotor.