Ground Crews also have SOP's. The pushback crew are responsible for the safety of the aircraft during the pushback/tow.
This has not changed in my 50 years or so in aviation, end of story.
I agree 100% with that statement. That is the reason why requirements for recruitment of people for the job should include a proven ability to take serious levels of responsibility. The way it stands some ramp staff might be champions at it while others may fall short in that area. It's a pretty big responsibility when the a/c is full of pax.