Most likely they do touch the box. I formerly owned a busy pizza establishment which did a fair amount of deliveries to the local college. Most of these large franchise pizza places use a rolling wheel pizza cutter once the pizza is in the box. Then the box is closed, then kept warm until pick up or delivery. I imagine its still as safe today as it was 35 years ago. Now the cardboard box is another story. I suggest keeping your gloves on once your pick-up or delivery is done, open the box while still gloved up, then use a spatula to remove your pizza pie then take the now empty box to the garage. Wash your hands and enjoy the pizza. If your a bit reluctant try putting the pizza on cookie sheets in your oven for a few minutes. Try ordering ahead of your desired time then simply reheat when wanted. Remain safe.