We did receive a NTO when we started this 20 years ago. Boeing advised us that additional training during initial type rating would be a good idea which was incorporated into the type rating syllabus.
We never had a long landing incident because of inadvertent A/T activation, rather the opposite in some cases as the A/T reverts to landing retard mode below 27ft if it is active.
As stated above it is a good idea to switch it off completely in gusty conditions, apart from that it is an absolute non-issue.