I would think yes, but the link you provided said that algae and other such life only need 1 mg/L which probably doesn't need to be pumped in artificially. It seems like it is at worst not a problem to add oxygen… though i think hydrogen peroxide and DO are not equal and that adding H2O2 is more like a poison than using an airstone to add more free O2. Also I don't know what the beneficial microbes are, maybe they need more oxygen than algae.
At the risk of derailing my own thread, the whole point of this question was to find ways to get oxygen to roots at the same level as aeroponics while using soil. This concern came up because i killed my first plants
and got fungus gnats.
Having looked at how soil reacts to water, it looks like almost anything other than perlite is going to tighten up when wet and completely close off the roots and microbes that are at that level to the surrounding air, and most soil seems to stay wet (except for maybe an inch or inch and a half) for days at a time. This is why I still think the answer to your question is yes and I still can't figure out how plants and microbes survive in regular soil (the kind without people helping). It's like they can live without oxygen for days but i want to give them a continuous supply so its not water or oxygen its water and oxygen.