Here are a few good articles on Aeration. They are all for wort though, so its not exactly the same but it does bring up something I noticed.
BYO.com
4th, 5th, and 6th paragraph
Effectiveness of Various Methods of Wort Aeration, by Fred L. Johnson, Cheddington Brewery, Apex, North Carolina, USA
On Brewing Bavarian Helles: Adapting to Low Oxygen Brewing
Could we be over oxygenating with the pre-pitch O2 addition. Most of the O2 calculations are assuming there is no O2 already in the must. Which is untrue unless you have boiled the water just before adding the honey (or boiled the must, which I know no one here does!), or used campden tablets (sodium metabisulfite) at a level high enough to remove chlorine, chloramine, sanitize any fruits, and leave some SO2 behind. Most likely all of the SO2 will have dissipated prior to the pitch and the DO of the H20 will be 100% again.
I have searched around but could not find an exact answer for the question "is there any dissolved O2 (aka DO) in Honey". I don't think there is but like I said could not find a yes or no answer. If anyone knows please post the link here!

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If the answer is no (to DO in Honey), and you have not boiled your water or put a ton of SO2 in from campden. Then the must would contain the DO from the water. The DO of water is dependent on the elevation, temperature, and saturation level. The typical DO of water at sea level, 70 degrees F, and 100% saturation is about 8.9 PPM.
So if we have a must for a traditional mead that contains 3.69 Gallons of water and 1.31 gallons of honey. Then using a simple mixture calculation ((3.69*8.9)+(1.31*0))/(3.69+1.31) = 6.57 DO.
That would mean if we were setting a goal of 12 PPM pre-pitch we would only need to add 5.43 PPM of O2.
Using a .5 micron stone at .2 liters per min of 99% O2 it would only take 22 seconds.
If you used the calculation with the assumption that the starting PPM was zero then you would would actually be over oxygenating the must by 6.57 PPM and setting it to a level of 18.57 instead of the 12 you were shooting for. Which is a level that could be toxic to yeast.
Unless I am missing something or calculated something wrong. If I have please let me know!