When teaching an OW scuba class, I start in the shallow end of the pool with showing how the gear works I then have them inflate the BCD and swim around on the surface for a while as they breathe through the regulator. I then have them dump air from the BCD, go under, add a little air to the BCD, and swim around for a while. I then tell them they have learned to scuba dive, thank them for coming, etc. It draws a good laugh. Then I tell them that what they had just done is pretty much is all there is to scuba diving, assuming nothing goes wrong. For the rest of the class we will be working primarily on dealing with things that can go wrong.
The experience that led me to completely change how I approached OW instruction was teaching pool based Discover Scuba classes. I would have the DSD students (often children having a birthday party) in the classroom for about 20 minutes, then we would go into the pool--shallow end followed by deep end. The goal was to have fun under water. Once I got them into the deep end, we just swam around doing fun things until the time was up--total time including the classroom was 2 hours.
My revelation: the people in the two hour DSD class looked more like skilled divers at the end of that session than did my OW students at the end of the full confined water sessions, which usually took about 8 hours in addition to the classroom time.
I realized that the problem was that the OW class (at that time--it's changed) had almost no required time for students to be neutrally buoyant. They did pretty much the whole confined water class on their knees, and when they did the OW dives, it was often not much different. Consequently, it would not be surprising for a DSD student to feel like they learned in that short time how to dive, and they could easily look better doing it than someone who went through the entire class.
I then started my first experiments with getting students off their knees and doing the entire class while neutrally buoyant, and the difference by the end of the confined water sessions was enormous. Of course, most OW instructors refuse to believe that, and they still teach the entire class on the knees. That is why it is indeed possible for a DSD graduate to look and act like a more skilled diver than someone who is newly certified..
I would love to observe you teaching sometime!