I do something similar to Bryan.
I have a medical oxygen regulator (similar to the William's Brewing kit). With it I can control the flow rate down to 0.125 liters per minute. Before I got my meter, I was measuring my batch size, converting to liters (12 gallons = 44.3 liters) and running the wand at the slowest setting until I had what I calculated to be between 6-8 ppm. So I would count off the minutes until I had about 0.3-0.4 liters of O2 expelled, just 2-3 minutes. Of course, there is loss of the O2 that breaks the surface, even with the smallest flow rate and the .5u stone, fine foam begins forming, which I wasn't accounting. This is with wort at 46-48F.
When I got the meter, it was clear I was about 30% below my target PPM, so I now run longer and confirm with the meter. It takes me about 7 minutes at that lowest O2 flow rate to saturate 12 gallons of 1.045 wort to a consistent 6-6.5 ppm reading. If my regulator (and my suspect math) is correct, that is about 0.88 liters of O2 out of the bottle for 0.27 liters of DO in the wort (at 6 ppm), losing roughly half a liter. Almost makes me want to do this under pressure in the conical. Almost. O2 is cheap. I suspect that I could hit 8 PPM with a 10-15 minute aeration, but I am afraid I would be wasting O2 at that point.
Rate of saturation seems slow a bit as well... so it takes nearly 2 minutes to push from 5 ppm to just over 6 ppm. I tried to saturate at 8 ppm, but gave up after my fermenter seemed to want to just fill up foam. If the gravity is higher than 1.060 (haven't done a lager that high yet), I plan to aerate a second time about 4 hours after the initial pitch and aeration. I have tried to keep more or less in line with the O2 recommendations of Boulton and Quain Fermentation book and the Yeast book.
I don't brew many ales any more, so not sure what the dissolution rates would be with warmer temperatures and potentially higher gravity wort.
With inline, I was taking as long as 45 minutes with the wort exposed to the stone, even at the lowest rate and completely saturating the wort... and wasting a lot of O2.
Hope that helps.