I lurk a lot here but seldom find anything I really want to reply to; this thread, however, needs some clarification.
Yes, the claims are bull.
The amount of chemical misinformation can be surprising here. For those that already know this stuff, I will apologize in advance, but this is something that I find I have to comment on.
Ozone is trimolecular oxygen, O3. It has no charge associated with it: it is therefore neither a cation (having a positive charge) nor an anion (having a negative charge). It is thermodynamically unstable, meaning that it will break down into a more stable form, namely dimolecular oxygen (O2). It can be formed using several different methods, from electrical discharge in air to ultraviolet radiation of diatomic oxygen. The electrical discharge method is what you experience during a thunderstorm when you can smell the ozone, and ultraviolet radiation on oxygen in the stratosphere will produce ozone. It is commercially produced using these methods, as well as others.
Ozone is indeed soluble in water, with the amount dependent on pressure and inversely dependent upon temperature. It is more soluble than oxygen in water. It decomposes in water in a complex mechanism that is not fully understood, but it is thought to involve the formation of hydroxyl free radicals, which then react with the first thing they encounter. It is this intermediate that is useful as a disinfecting agent, as it is indiscriminate in its reactions, and is the culprit for the damage ozone is known to cause. The other product is, of course, oxygen. Other products can form depending on what the intermediate reacted with.
Excessive ozone produced in ozonizers can cause damage to other living organisms, including the gills of the fish in the tank as well as the skin of the bather in the hot tub. However, most products that ozonize water only form relatively small amounts so it is usually not something of a concern.
Hydrogen peroxide is not produced from ozone but rather reacts with it, especially if it is present in its anionic form (one hydrogen, two oxygens, with a single negative charge—HO2-). Hydrogen peroxide is formed in the reduction of diatomic oxygen (the stuff we breathe) with diatomic hydrogen. It breaks down in two one-electron steps, one that forms both the hydroxyl radical and the superoxide radical. Both radicals react at diffusional speeds (quite fast), and both are quite damaging to living tissues. Hence, living tissues have enzymes readily available to deal with both of these products (superoxide dismutase and catalase) and so the damage is very limited. The final (main) products of the decomposition of hydrogen peroxide is water and oxygen, with of course any other stuff the intermediates may have reacted with.
It is never a good idea to drink hydrogen peroxide, even in very small amounts. The amounts of superoxide dismutase and catalase present in the cells is very small. Drinking such a damaging oxidizer can easily overwhelm what the resources the cells have and can cause quite a lot of damage. If you find you need to sterilize your water with hydrogen peroxide, I would suggest waiting a while for the peroxide to decompose before you drink it.
As for the negative ions in solution: you cannot have negative ions without positive ions. You cannot have high pH water without a counter ion. The charges in the solution will balance. The "high pH in water" business means that, yes, indeed, you have a high concentration of hydroxide ions in the water. Since water _autoionizes_ (underlines to prevent the autocorrect from breaking up the term), it forms hydronium (H+) and hydroxide (OH-) ions at the equal concentrations of 10^-7 moles per liter. This is the basis for the "pure water has a pH of 7" adage. High numbers of OH- ions means that you need a correspondingly high number of positive charges to balance it; it becomes obvious that the amounts of H+ that water can provide as a balance is insufficient (and wouldn't change the pH either). Thus, the OH- ions cannot be coming from water, but must be coming from something else. The metal hydroxide added to the water to give the OH- will provide both the OH- and the corresponding cations to balance the charge present from the OH-.
Example: NaOH is a base. In an aqueous solution (dissolved in water) it produces Na+ and OH-. Ba(OH)2 is also a base, producing Ba2+ and 2 OH- ions. Note that the charges balance.
I'm not saying that a high pH solution won't react with what it encounters (such as metals, glass and some plastics), but it isn't looking for positive ions from the metals, glass and plastics. It reacts because it is thermodynamically favorable, giving products that are more stable than the reactants.
For those individual that require references, let me know. I will provide whatever I can. The years I spent in graduate school involved helping individuals studying the oxidative effects and products of various neurotransmitters, looking for a possible cause for the reduced dopamine production found in the brains of Parkinson's disease patients. Also, the chemistry professor in me screams when I see this kind of stuff.
Diana