The load always hangs below the suspension point
A freely suspended load swings until its centre of gravity lies vertically below the suspension point. That is not a matter of design but of physics. If the load is slung off-centre, it tilts into this position when lifted – slowly at first, then with a jerk as soon as it is clear.
The first rule of slinging follows: the hook belongs above the centre of gravity, not above the middle of the part. On symmetrical components these are the same. On a geared motor, a housing with attachments or a container filled on one side they are not.