In this movie, Pinhead comes across as surprisingly stupid.
His impatience and his arrogance brought about a downfall he needn't have suffered. Rather than let Angelique entice Merchant to develop the design LeMarchand had drawn centuries earlier, Pinhead simply rampaged and caused the Merchants to become active enemies of the Cenobites. Had he been more patient, then the Cenobites may have been able to counter--or at least avoid--the effects on the Minos Station at the end of the film. Then it apparently never occurred to him once aboard Minos Paul Merchant would be a formidable opponent who may actually have found a way to defeat him. He condescendingly expected to torture Paul to death and then run rampant on Earth, never accounting for the possibility of covering himself against a possible defeat. All of this means Pinhead brought his final defeat on himself. A bit more patience and intelligence would have worked in his favor and possibly caused the Cenobites to be victorious in the end. Pride goeth before a fall, I suppose.
Carthago delenda est.