Are US Health claims regulated on Food website ?

I am curious. In the USA are health claims regulated on food manufacturer websites like they are on food labels.

Thanks.

• The prohibition against misbranding extends to food advertising.  Enforcement against misleading food advertising is shared by the FDA and FTC.
• Package labeling is at the discretion of the food business except that 1) the labeling requirements for the PDP and Information Panel must be met and 2) the remaining label information cannot mislead the consumer.
• Likewise, food advertising and other communication with the consumer cannot mislead the consumer.
• The discretionary areas of the label, advertising and other communication with the consumer are opportunities to educate. the education may be product specific or more general but it cannot be misleading.  Possible education/communication topics might include product use, nutrition, or food safety (as long the information is not misleading).
• Advertising includes your website

If you look at the FDA's website under "Warning Letters," you will see many examples where they have taken action against information on companies' websites.