November, I think its quite easy for crumbs, melted cheese, corn meal, or whatever to fall into the cracks, crevices and perforated holes of a cutter pizza pan. [...] I don't know for a fact, but I would guess the holes in a perforated cutter pan are smaller than the openings in a screen.
These two statements don't belong in the same post. If you've never used a perforated pan, and moreover are guessing that the holes are smaller than on a screen, I don't know why you would think it's easy for food to get stuck in the holes. A lack of information only supports a very questionable opinion.
It can't be too easy as I have been using a perforated pan for about 16 years and not once have I ever gotten anything stuck in the holes. That's a long time for something to not happen when it's supposed to happen easily. I think the only reasonable explanation for having sauce or cheese even coming in contact with the pan (whether it sticks or not) is Curt's:
Due to laziness or impatience, I have been know to cut a pie right out of the oven.
Which is something I would never do or recommend doing with a quality pizza pan. I've had pans around for a long time and wish to have them around for a lot longer, so I just use them to bake on and I leave the cutting for a cutting board.