Are you sure about that? I'm sure that it will be ok for the first 30-40m.
Of course, there is no problem at all. It is a simple physical principle. Your claim that you could not inhale when lungs are reduced, is the same as if you told you cannot inflate a balloon when it is empty - that's nonsense, of course.
First, the lungs will be never 100% collapsed - the inner pressure of the air in lungs is always (practically) equal to the ambient pressure. The body compensates the inner lung air pressure by reducing the volume - first by the flexibility of the rib cage and diaphragm, and the by filling the capillaries in the alveoli. The alveoli won't collapse - that would likely have fatal consequences. The inner volume simply shrinks, keeping the air in them under the same pressure as the ambient water pressure.
Second, the air pressure from the regulator is (practically) equal to the ambient water pressure - so you are in exactly the same situation as if you tried to inhale on the surface.
If there is some air you can inhale, what do you think could prevent the diaphragm and the ribcage to start inhaling? Nothing of course - there is equilibrium of pressures, so if you start the natural inhalation (with your diaphragm and rib cage muscles), you create a pressure gradient sucking in the air from the regulator.
The problems of inhaling compressed air in great depth are definitely not coming from not being able to inhale physically. There may be problems with the right gas exchange, or a shock, considering you dove with natural air, and inhale suddenly trimix or other mixture, when already in hypoxia and hypercapnia.