Apparently, this photo is of a gun on the Hartman & Weiss website.
If you are contemplating buying one of their guns, why not contact them with a link to this particular discussion so that they will understand that the vast majority of buyers of an expensive engraved shotgun find this sort of attention to detail unacceptable?
In all likelihood, the screw just needs torqued down another fraction of a turn to align the slot. Highly doubtful it was built with a misaligned slot prior to engraving and case hardening. But that little detail should have been done before the gun was handed to a photographer for an advertising photo. Someone really dropped the ball.
It is incorrect to think that narrow slot screws cannot be removed or replaced without damage or misalignment. It simply takes more care, and the proper hollow ground screw driver. When a good gunsmith finds a screw with a slot that his drivers don't fit, he will grind a tip to fit perfectly before he ever attempts to move the screw.