Your suggested experiment has already been debunked so many times that it would take a lot of time to cut and paste the sources, or reference from biology texts, so I'll leave it to you to research for yourself.
There is so much pseudo-scientific nonsense surrounding the product "vitamin O" and "MMS", that sounds plausible, unless a person actually has a good basic knowledge of biology and chemistry. I hope everyone that visits the sales sites, also does a bit of research on more reputable sites, and are not fooled by the "sciencey" sounding rubbish that the sales sites use to reel people in, and spend their money on salt water, and paper pulp bleach.
"Oxine", (and industrial chemical sanitiser and disinfectant), is indeed sodium chlorite, but this is not listed in the ingredients of the product "vitamin O". Nor stated anywhere on the websites selling "vitamin O", so do you have any proof that this is what was used in their supposed product testing?
The study you put forward, is not peer reviewed, repeated, or verifiable as even having taken place, so I wouldn't put too much weight on the supposed findings. (Its also a good idea to see who supposedly funded this study, and investigate those people who supposedly conducted the study). Interesting reading.