"The AP has it's own gyro and is always running"
This does not explain why the Gazelle lacks blowback, dissymmetry of lift and left skid high, right skid low takeoff/landing
Doesn't explain why yawing doesn't roll the aircraft (and vice versa)
Doesn't explain it's overly sensitive controls (can completely loop/roll the aircraft with only less than 10% stick input)
I'd also imagine the the AP SAS system would move the pilot's controls, showing what it's doing, like other SAS systems (unless the gazelle doesn't do that IRL, I would have a hard time believing that, if the SAS is linked to the control servos, thus the pilots controls)