If I sell Awesome Oil and then under the name, i put in "made from 100% extra virgin avocado oil" and put avocado oil in my ingredients list but it's really soybean oil, that's different than selling Awesome Oil but putting in actual ingredients in the ingredients list.
15 USC ยง 1125 gives civil liability to anyone "who in commercial advertising or promotion, misrepresents the nature, characteristics, qualities, or geographic origin of his or her or another person's goods, services, or commercial activities". I've seen state laws that cover this as well.
They might and maybe that would be good. However, to get to a jury the prosecutor would have to prove that a law was broken and that there's enough evidence against the defendant. If there's no such law there will never be a case.