No, a longer screw wouldn't be of much help. If you look at the picture of the jig, above, you'll see that the jig's walls slope up at about a 45 degree angle until they reach the jig's maximum width. From that point on, the jig's walls go straight up and down. The walls form a cradle at the bottom that automatically centers a gouge in the jig. The brim of the brass 'hat' just barely fits between the jig's walls at their maximum width. A longer screw wouldn't allow the hat to travel (much) farther downward because the brim cannot fit as the walls of the jig start to slope inward.