It really isn't about integrity in this case. It's a well-intentioned mistake.
I have an article waiting in the queue to be published by PADI about this topic--using key principles of athletic coaching in instruction. The article focuses on a critical aspect of good coaching--making sure practice sessions require "game-like" actions. If your practice has players perform skills in a way that is different from the way they perform in a game, they will learn bad habits and perform badly in the game. I became certified by national organizations to coach both volleyball and soccer, and that principle was emphasized in my training for each.
Let me give an example from soccer to show what I mean. If you watch a youth soccer practice being led by an untrained coach, you will typically see a portion of the practice devoted to passing skills. Players will pair up, face each other, and pass the ball back and forth. That is simply horrible coaching. The players are being taught to watch the ball all the way as it approaches, wait for it to arrive, stop the ball dead at their feet (or pop it up in the air briefly to make it more interesting), and pass it directly back the way it came. In a real game, they must look away as the ball approaches so that they can see what is happening around them, move to the ball to beat their opponents to it, and then either tap the ball to a place where only they can get it or pass it directly to a teammate in another direction. The more players practice that drill, the more thoroughly those bad habits will be ingrained. In contrast, playing a game of keep away is much more gamelike--and more fun as well.
The same sort of thing happens in scuba instruction. A well meaning instructor will tell students that they should never, ever use the inflate button to ascend. Then that same instructor will conclude a pool session with students overweighted and on the knees, at which point they must push the inflator button in order to get enough air in the BCD so they can ascend. What the instructor teaches verbally is thus contradicted by what the students practice because of the on-the-knees instructional practice, but the well-meaning instructor does not realize it.
My article goes on to list a number of skills in which the students must practice incorrect (non-gamelike) methods because they are taught while overweighted and on the knees.