You should never "purge the headspace", in my opinion (as in fill keg with air around and then put CO2 in, release, repeat xN times).
One should fill a keg full with starsan (need to do it anyways) and then push starsan out with CO2. As you see in my post above, the cost here is 60g of CO2 if pushed at 7psi - could be reduced to as low as 40g if pushed at super-low pressure ~ 1ps but it takes forever (most of which will be emptied to atmosphere as you put the beer in).
Now, let's say he filled keg when it was open to air, then sealed and purged 3 times at 30 psi. 30 psi is about 3 atmospheres (30+14=44psi vs. 14 psi), and say he fills half of the keg with CO2, so he would use about 40*3/2=60g - same 60g, *per purge*. So total of 180g.
But the amount of air will go down from 2.5 Gallons, to 2.5G/3 after purge 1 (max pressure is 3 atm. - 1 atm. of air plus 2 atm. of CO2), to 2.5G/9 after purge 2 and down to 2.5G/27, or about 0.1 Gallons of air after purge 3. That's still about half a liter (or half a quart) of air in your keg, and over long term that would be a problem with oxidation - at least for me that's a troubling sign.
On the other hand, 0.1G of air to 2.5G of beer, or 1:25 ratio is probably about what you get in the bottle so maybe that's ok.
Still, pushing starsan with CO2 uses a lot less CO2 and leaves a negligibly small amount of oxygen.