Turbo-gyroscope?
Actually torque tendencies from the tail rotor would translate to the lateral axis, not the vertical axis, affecting the pitch, not yaw.
The yawing you observe while translating sideways comes because as the angle of attack on the tail rotor decreases from 180 degrees (in relationship to gravity) in a right or left turn with no increase in the pitch of the tail blades, the tail will lose "grip" in the air and yaw.