So, airstones do a few things. They assist in breaking up the surface of water, turning it over, which the more agitation you have, the more "organic" oxygen acquisition you'll see in the water. However, dissolved oxygen is partially affected by temperature, and since air stones add heat to the water, it's a counterproductive solution. You'll see pH swings as a result of the increased CO2 introduced to the solution since the air pumps will just pump in ambient air which a normal residential room runs around 300-450 ppm CO2. That will raise pH. That's why I personally do not run air pumps -- heat + CO2 + they clog easily + pumps are fuckin noisy.
h2o2 is a better option for me. I run sterile, don't struggle with keep good bacteria strong enough to combat bad bacteria, and have more DO than a heavily aerated system. Also save money as hydroguard and the like are twice as expensive as a gallon of 34% h2o2 at a quarter of the volume.