Advertisements conveying factually false messages are generally categorized under puffery.

That is false. Advertisements conveying factually false messages are generally not categorized under puffery.

I believe the answer is: False

Puffery generally refers to a falsification of praise given to a certain type of product. Someitmes, the puffery do not contains factually false statement, but it could be done in a form of exaggeration that would not be noticeable until the consumers buy the product.