As I stated earlier it varies from state to state. Florida has Warranty deeds and Quick claim deeds and a couple of variations but all they do is convey ownership of the property from the seller to the buyer. THe terms your quoting in the deed for trust are not used here. When that happens here its a violation of the mortgage agreement and not a criminal act.
Quit Claim deeds are worthless most of the time. All they convey to the buyer are the rights the seller has in the property (which might me none at all). Frequently if property is sold via a sheriff's sale the new owner will try to get the former owner to execute a quit claim deed to quiet the title. It prevents a long lost 2nd cousin 4 times removed from popping up and asserting a claim on the property.