I think your physics and notion of physiology are off. Out of the water you don't get air "shoved down your throat". The natural state of the lung is collapsed. You expend energy (diaphragm goes down, ribs go slightly out and up) and you SUCK air into your lungs. Then, (unless you deliberately blow out), when you relax the inhalation muscles, you exhale passively.
Try it and notice how it works.
The airways potentially can move a lot of air pretty fast if there is no obstruction or pathology. You have to, to be able to run a 1/4 mile in 60 seconds.
Unless tuned to free flow the reg simply sits there. Once cracked you still have to maintain some inhalation effort or it stops. That's how it's designed....or it would never stop. How 'easy' this is does depend on the reg and the tuning, but it is not the same as being out of water, and you actually aren't really breathing quite the same. The deeper I go, I take larger and slower breaths with longer and longer.....uh.....pauses. Don't confuse that with a breath hold (glottic stop). It's just a pause at full inhalation for a bit.
Pay attention to the exhalation. Since you have to open the valve and push the water away there is resistance there. One of the main reasons regs are so poor at bubble dispersion now is the exhalation cowling has been reduced to nothing to minimize exhalation effort. Makes them look better on machine tests. That is a fair part of the work of breathing, but people tend not to notice it. It's there...it is part of the balance.
Note - I've had dives when I have a low level of anxiety. The first real sign is a vague feeling of not getting enough air. When I pay attention to my breathing I realize that the actual mechanical breathing is just fine. Then I have to work on relaxing and getting into the dive and being distracted. If you focus on that feeling of not getting enough air for a whole dive even though you know you are fine it just fuels the anxiety.
I also get this same feeling when I'm down low and trying to see something that requires me to tilt my head way back and look up. That can stretch some nerves in the neck and provoke the same feeling of lack of air. Wearing a drysuit (neck seal) and doing that can pretty reliably produce that feeling in me. The seal may also block some of the circulation in that extreme position that contributes to the feeling. I back off and assume a normal diving position and it goes away.