Yes, but it's not about what actually happens, but their perception.
If people believe "All Natural" to be truthful (regardless of whether it is regulated or not) then their choice to buy it is reflective of their attitude.
Lets be honest here, 99.9% of chemicals used in food are either proven to be safe. The rest are in question by a tiny number of renegade scientists.
In the UK it is even more stupid because the "all natural" regulators are the same bunch as the "safe...