Not sure of the piracy connection, but guessing the screwdrivers are to adjust the head alignment for some reason?
Yup, when you had an original tape the quality was usually good so the head alignment didn't matter much. But when you copied the quality could drop a bit, and if you copied a copy or a copy of a copy of a copy it could degrade badly. Especially if you used cheap quality tapes.
So, sometimes when you had a bad copy you'd get the tiny screwdrivers out and adjust the head alignment, seeking the best possible position to try and get the game to load.