However, I am pretty sure carbon or CO2 presence does not vary directly in any way with available oxygen. IF I am not mistaken.
yeah. That's correct.
There are a number of reasons that I may agree that a sochting oxydator could work vs nuisance like cyano or dinos.
maybe....
1) small amount of h2o2 escapes the container - not just O2 bubbles.
2) other reactive oxygen species may be present or produced.
3) either the h2o2 or the other reactive oxygen species might damage the nuisance directly.
4) the oxidizers may react with organics that are present and available as food.
5) the oxidizers may reshape the bacterial community in a way unfriendly to the dinos/cyano
6) the peroxide etc on a constant-add basis may dramatically affect the form of Fe/other trace metals, and possibly deprive dinos of that.
Randy has talked about this a good bit, in the context of trying to explain that h2o2 does a lot of things in a tank that may not be direct killing - but could be important: "Hydrogen peroxide will alter the speciation of several trace metals, including iron, by driving them to a higher oxidation state." -
Randy
All those things might happen - but I strongly doubt that the way oxidizers chase away dinos or cyano is that dinos don't like O2.
....also the linked account said that the hobbyist added DinoX - algaecide meant to kill dinos - at the same time.
"I used Dino X and the Oxydator in my saltwater tank and I watched the dino dying away on a daily basis (alongside the cyanobacteria)."
Long way of saying, it may (or may not) work. But it's not because dinos were thriving in a system that was deprived of O2 and now with O2, the dinos go away.