I think the dungeon flow is very weird, you can immediately leave the dungeon by going from room 5 to 1. If the PC's really start with no equipment I can't think of much incentive for them to hang around in the dungeon.
Don't forget the secret door that impedes your progress from going straight out of the dungeon. If you can find that door and get out, Cull still thinks you've successfully escaped and will rewarded accordingly.