As you have suspected, left [nose] yaw indicates an under-performing tail rotor SYSTEM.

That means it could be a few things on an Axe...

the battery (is there a main rotor speed drop as well?),
the motor,
the 3 in 1,
the wiring,
the receiver (rudd. channel),
tail rotor mechanicals,
pinion slippage,
etc.

After it first "departs" nose left, the gyro (3 in 1) will try to speed up the tail to halt further rotation, this further strains the system and that leads to further failure resulting in the 540 or so deg. rotation.

Just a thought based on your post.

RWW