Yes, fraud & lies, particularly those resulting in physical or material harm should absolutely be grounds for restitution.
IP should exist to whatever degree that clear identification via branding or trademarks is necessary to keep people honest.
Organizations like "Komen for the Cure" who go around suing other charitable orgs for using different colored ribbons & "for the cure" in their own slogans is kind of ridiculous though.
The person donating or purchasing the item should be the one to seek restitution because producers charging different prices are not stealing anything from their competition, they are only harming or misleading customers. No producer is guarateed future sales so nothing has been stolen when a copycat enters the market. If the customer believed they were buying the genuine item maybe the restitution should be that the fraudulent company be required to purchase the real item from the original company.