The compressed gas is being delivered to the recipient at ambient pressure (1 atmosphere) - when the user is just walking around on the ground at sea level. This is the same pressure you and I get from taking a normal breath without the aid of a self-contained breathing apparatus. There is no danger therefore doing this, any more than you or I experience when we fly at anytime. We're breathing at this pressure everyday.
At depth a greater amount of gas is delivered with each breath. Inert gases like nitrogen, argon and helium are not consumed by our bodies like oxygen. So these gases under pressure are being "packed" into our bodies tissues. When the pressure decreases these gases want to come back out of our tissues. If we decompress too quickly that is when it becomes dangerous. Instead of slowly coming out of the tissues, rapid decompression causes damage to the tissues, blocks blood flow, and bursts things that can't take the pressure that quickly.
The magic of all this happens in the regulator, it decides how much gas to let us have - by essentially "measuring" the pressure around us. If it failed to deliver enough gas at depth it would be so difficult to inhale - our lungs would not be strong enough to force back all that water pressing in on us so as to get a full breath. This simply isn't required for breathing at 1 atmosphere of pressure or at sea level, so these gases aren't being "packed" into our tissues so as to prevent us from flying.
moved thread with redirector to Dr. Decompression forum