The actual work of inhalation and exhalation is done by the lung muscle, but the sensation of the work done by those muscles is not very acute.
What are more acute are the pressure sensors on your inner ears. That is where differential pressure is measured by the human body. IMHO, that is the actual reason why many divers think that the vertical distance between the regulator diaphragm and the mouthpiece is important. Your ears just happen to be close to your mouth.
In reality when your lips form a seal with the mouthpiece, your respiratory track becomes part of the air duct system. When the mouthpiece is out of your mouth the system has being modified.
So the bottom line from my observations (also looking at some research data for re-breather WOB as a function of counter-lung position, etc.) is that even though the actual work is done on the lungs, the inhalation effort sensation is measure at the pressure sensors in the inner ear.
If you look straight up with your single hose regulator (truly position yourself to maximize the vertical water column distance between your ears and the regulator diaphragm) you will notice a slight breathing effort change.
Also in a double hose just a very slight body inclination with the head looking somewhat forward will raise your ears to about the same level as the regulator diaphragm.