I have no affiliation with the company other than being a very satisfied customer.
Looks like the active ingredient, edathamil, is another name for EDTA, a chelating agent which is also used as a preservative, so it should be safe.
I wish these newer toothpaste were cheaper, though:
• Livionex — $14.26/fl oz ($20 for 1.75 fl oz)
• Boka — $3/fl oz ($12 for 4 fl oz)
• Dr. Collins Biomin — $2.39/fl oz ($8 for 3.5 fl oz)
• Sensodyne with Novamin — $4.95/fl oz ($13.40 for 2.70 fl oz)
The Verdict: The gel, called Livionex, removed plaque better than Colgate Total—a popular product used as a comparison—in a study at the University of California, Irvine. The results look promising, but longer studies with more subjects are needed, particularly since the new gel doesn’t contain fluoride, dentists say.
“Fluoride has 150 years of solid research proving that it does prevent cavities and tooth decay,” says Sally Cram, a Washington, D.C., periodontist and a spokeswoman for the American Dental Association. If you’re thinking about trying the new gel, Dr. Cram suggests talking to your dentist about your risk for tooth decay and considering using fluoride mouthwash along with it. [0]
[0]https://www.wsj.com/articles/anti-plaque-dental-gel-excels-1...
EDTA is used in food, medicine, and dentistry. It's ingested, inhaled, and injected into people every day.[1]
In the video you linked Adam Savage reads out the safety warnings from the Evapo-Rust bottle ("non-toxic, biodegradable, safe on the skin and eyes") and from the Evapo-Rust SDS[2] it seems like a pretty darn safe product.
[1]https://en.wikipedia.org/wiki/Ethylenediaminetetraacetic_aci...
[2]https://evapo-rust.com/wp-content/uploads/2018/08/Evapo-Rust...