Nice to know someone is awake and not taking all the bad science at face value. Yes - that link I posted does have a few "holes" in the science they used to support their claims.
There was a sugar substatute used in a soft drink back in the late 1960's (cyclamate used in the diet drink TAB if I remember right) that was banned because it caused cancer in lab rats. As it turned out ... a human would have to consume 20-30 2-litre bottles of TAB per day for 120 years to consume the amount of cyclamate given to the rats in 1 week/month period. Using the same methodology, and concentrations, we were able to produce cancer in lab rats using carrot, beet, cabbage, spinach, lettuce, and the minerals in tap water (and a few other organic plant things we normally eat) at the University of Texas in Austin in 1971-1973.