My only experience with being OOA was in OW class where the instructor shuts down your tank valve. Is this truly a realistic simulation of being OOA or would it be more abrupt? For example in the OOA simulation you could feel it was becoming harder to get air when you took that next breath, but you still got air. In a true OOA would it be more abrupt like you take a breath, exhale and then on your next breath you get nothing. If that is the case that could drastically change how the OOA scenario goes down. Since you exhaled and now can't get air I could see a diver becoming panicked and going for whatever they see. Buddy distance could be an issue too because the delayed time and CO2 accumulation would trigger that desperate urge to breath and again go for whatever reg they see first.
I am surprised by what you describe; the situation is normally just the opposite.
In theory, a tank running out of air should be harder to breathe as it nears the end. As I understand things, back when they first started to do this exercise, some decades ago and before my time, shutting off your air in the pool did roughly recreate that actual feeling of running out of air on a dive. When I was both a DM and an assistant instructor, though, I was the one who demoed this drill many times, and whenever I did it, the air shut off suddenly, with no warning whatsoever. That is because modern regulators are way better than the ones from decades ago. Now that I am an instructor doing this drill, I have sometimes tried to recreate a harder to breathe situation by leaving the valve just a hair open. Perhaps your instructor did that for you.
Some people will also say that this sudden loss of air is what happens when you actually run OOA in the deeper water, again because of higher quality regulators, but that is not my experience. In technical diving, I have breathed stage bottles (tanks used to supply additional breathing gas on very long dives) down very near to the end. I have done so using pretty good quality regulators, and I have always felt it getting harder and harder to get air as I neared the end of the tank. (I never actually finished one off.)
What I have finished off on several occasions is decompression bottles, but on the surface. I sometimes have to cross a mountain pass after diving, and I like to play it safe by finishing off an oxygen decompression bottle before I do. I can definitely feel it getting harder to breathe as I get to the last breaths.