Chick-fil-A ice cream is not legally ice cream.
The reason why Chick-fil-A ice cream is not legally ice cream is because the Chick-fil-A ice cream lacks the minimum 10% milkfat content that is required by the USDA for ice cream to be considered ice cream.
Chick-fil-A ice cream contains less fat and more air, which makes it lighter, lower in calories and instead a frozen dairy dessert, and not technically ice cream.
Traditional and real ice cream has to contain at least 10% or more milkfat to be labeled as and considered ice cream, but Chick-fil-A ice cream has much less milkfat and only around 3% milkfat.
Chick-fil-A ice cream is instead called Icedream as it uses nonfat milk and milkfat with added sugar, flavorings and stabilizers which result in a lighter texture.
Because Icedream which is Chick-fil-A's ice cream does not meet the fat requirement, it's classified as a frozen dairy dessert rather than actual ice cream.
Chick-fil-A's Icedream ice cream is a popular and lighter alternative to richer, higher fat ice creams, even though it cannot carry the ice cream label.
Many ice cream desserts are now frozen dairy desserts and don't melt like normal ice cream does.
If the ice cream you have does not melt like normal ice cream, then it's a frozen dairy dessert and not true ice cream.