so don't take this too seriously. I am skeptical of the second article simply because it is a sales pitch---they are selling "food grade H2O2". That article also suggests that the H2O2 furnishes the plant with an oxygen supplement. The problem is that plants don't need oxygen, it is a waste product that they produce (luckily for us).
The first article says that it is a great soil aerator, but I would suggest that it would be better for you to drive stakes (or some type of heavy duty metal skewer) into the soil and out again, several times, to break up the soil and aerate it that way. And it also says that it will remove chlorine from the water....but so will leaving the water sit in an open container for 24 hours. Or you could collect rain or snow water to use on the plants and avoid all the chemicals in tap water. I also saw that it says for "Soil Pest and Root Rot Treatment -
1.Mix one part of additive-free 35% Hydrogen Peroxide with ten parts water." A 35% H2O2 at 1:10 ratio is as strong or stronger than the 3% solution you would buy at a drug store, and that seems like too much to me.
So the skeptic says that I, personally, would not try this on a prized plant. I would be willing to experiment with this, because I find experimenting fun....but not on a tree that I think is not replaceable. My two cents.