Jason,
I don't think your concept is correct.
Even though a freediver has less total nitrogen molecules in his lungs, the nitrogen partial pressure he experiences is the same at a given depth. If he remains for 20 minutes (holding his breath), at 30m, then he would absorb almost all the nitrogen in his lungs, at which time his nitrogen partial pressure would start to decrease.
For example,
Air = 80% N2, 20% O2
Freediver descends to 30m
Freediver is at 4atm
Freediver has 4atm *0.8 = 3.2atm nitrogen in his lungs at time T=0
Scuba diver descends to 30m
Scuba diver has 4atm *0.8 = 3.2atm nitrogen in his lungs at time T=0
However, now, as they both remain at 30m, they both absorb nitrogen. The scuba diver has a limitless supply of nitrogen as he breathes, so he is exposed to 4atm*0.8 = 3.2atm nitrogen forever.
The freediver gradually absorbs the nitrogen out of his lungs. After perhaps a couple of minutes at 30m, the freediver may no longer have 80% N2 in his lungs, because he is absorbing the N2. Now, he may have 65% N2, giving him (65/80)*3.2atm of N2 pressure in his lungs.
N2 narcosis is a function of the N2 in the blood plasma. It takes a non-zero amount of time for the blood plasma to reach equilibrium with the lung N2 pressure.
So, upon arriving at 30m, the freediver is OUT OF EQUILIBRIUM, the blood still has very low N2, but as he waits, his blood N2 rises, reaching an equilibrium after perhaps one or two minutes.
So, what does it all mean?
It means that a freediver, if he hangs at his target depth for one or two minutes, will get almost as narked as a scuba diver at the same depth..... almost (not the same), because the freediver has absorbed a small fraction of his N2, decreasing his N2 pressure slightly.
Eric Fattah
BC, Canada