It's not the pushback crews responsibility to take it oot.
Got to disagree there.
It is their responsibility to remove it and show it to the flt crew.
It is also the responsibility of the flt crew to check that it has been removed, usually by seeing it in the hands of ground crew but also verifying through other methods, whether that be verbal, or ECAM/EICAS message on the flt deck instruments.
Taking time to check may take a few seconds extra, rushing tends to get people hurt.