In the first 2 Hellraiser movies it is pretty specific about not taking hands but rather desire when the cenobites appear. Pinhead says "...It is not hands that call us, it is desire!" after being called by the box. When someone calls the cenobites with the box they are drawn to hell. Sometimes they are made cenobites, but they spend a lot of time researching the box and it's secrets first, not just someone that solved it for some random reason.
In Hellraiser 3 the cenobites ransack an entire town and turn random people into cenobites. I never figured out how they reconciled the rule of only taking "Desire" since almost none of the people in the club would have known about the box. Was this explained in #3 or any of the following movies in a way that stays in sync with the first 2 movies?