A deed can be both a Quitclaim Deed and a Gift Deed (just like a car can be both an all-wheel drive and a hatchback). The title of the deed does not determine whether a deed qualifies as a Quitclaim Deed. Whether a deed qualifies as a Quitclaim Deed depends on the language in the vesting paragraph.
The designation as a Quitclaim Deed means that there is no warranty of title; the designation as Gift Deed means that there is no consideration for the deed. In situations where there is no warranty of title or consideration, our software is designed to use the title Gift Deed instead of the title Quitclaim Deed. This makes it clear to the recording clerk that there is no consideration. Because documentary stamp taxes are assessed based on the amount of consideration, designating the deed as a Gift Deed can help make it clear that no documentary stamp taxes are owed.