The fact that so many sleep techs seem to believe the assertion in the first paragraph makes me wonder. Do they believe that because they see it empirically in the lab when they do titrations, or do they believe that because that is what they were taught?
LoQ, I've had EXACTLY this same question. If you believe what the sleep techs say, then so many people who are taping, using chin straps, and suffering with FF masks don't need to be. But the sheer numbers of people who find that they cannot avoid losing air through their mouth belies the sleep techs' assertions.
However, in my case, I was surprised to find it WORKED. I was certain that I was a dedicated mouth breather, but I decided to try first a nasal mask and finally nasal pillows when I just couldn't deal with the pressure on my nose from the FF and nasal masks. To my utter surprise, I had no mouth leakage. (It also took some good "nasal hygiene") So I'm not ready to write off the sleep techs' assertion, either.
The only other factor I can think of is that the sleep lab is a very artificial sleep environment, and maybe people in a sleep lab setting don't end up in the same positions, with the same firmness or softness of pillows, mattresses, drink alcohol or ingest other chemicals before bed, etc. that would contribute to a more relaxed jaw and/or lips.
It is all very curious, though.