Intriguing thread/ideas Xisca. I have to agree completely with John's assessment of it's subject.
There is a lot of interesting information being put out on the internet (including Ted Talks) that sound logical and real, but may not be.
I agree that there is likely something to the basic greater theory being presented: That natural gels act to enhance water storage--> I understand, for instance, that natural gels [created in the wastes and decaying bodies of microbes] are
one of the reasons that
compost holds moisture so well. When searching, I have found no verification that plants change water to this H3O2 molecule for this or any other purpose. I understand that desert plants specifically, and other plants also, have gels, and the thinking is that the plants need these to aid themselves to hold/store water, but whether they allow water to be somehow better, through the manipulation of it's molecular structure, I can't seem to find any body of information about. While there is some promotion of this idea and products, I can't seem to find any studies that verify it. The lady in the Ted Talk does not offer any links to hers or other studies. Perhaps there are some studies to that effect that someone can help us with?
Science is like that, though,... sometimes it takes time for hypothesis and controlled experimentation to catch up with the anecdotal information or the uncontrolled reality that we witness/experience day to day.
Like John, I follow many of these ideas that you mention in this thread, Xisca, with or without scientific verification, but when it is stated as a fact and I can find no information about it, and with only a Ted Talk to back it up, I have to raise my eyebrows and wonder a bit. Perhaps I'm just a bit too much of a skeptic to read such claims without expecting to see more empirical information.
When it comes to the term 'Structured' water, there are a lot of different ideas that have this label. Some of these have been debunked and others seem questionable scientifically, but I have not found anything specifically about H3O2 as being called structured water outside of this Ted Talk/thread, or as mentioned, what effect gel based water has directly on our water needs.