Unless it's a company SOP or compliance with your local regulatory authority's requirements, it will all come back to the degree of redundancy associated with your Auto-Pilot.
You did mention the LEFT command auto-pilot, which would infer to me that you're engaging a single, no backup system, thus, there's no automatic redundancy if it should fail. Perfectly OK at higher altitudes where you can safely intervene within within a few seconds if failure occurs, but not so acceptable at low level.
Aircraft such as the B777 have a single Auto-Pilot switch, which engages a single A/P, but has the other 2 A/P's standing by to take over if internal logic cross checking indicates that the primary A/P is acting spuriously.
Regards,
Old Smokey