Integrity is a fairly small word but a big concept. Integrity comes from having a true spirit.
A dojo owes several bits of integrity.
It owes the students that train there good training, it owes the art integrity to insure that it is passed on well and to people who have a true spirit, and students owe the teacher respect and curiosity. If this does not happen chaos instead happens. If things are taught to people in a way that they have lots of skill before they have developed true spirit you have trained a fighter, and training a fighter is not the purpose of a dojo.
The purpose of a dojo is to provide a place for us to hone our skills for sure but more importantly it is a place to refine our characters.