“Animal fat” that is highly unsaturated because it was from pigs fed polyunsatured seed meal byproduct, is going to have different health effects from the more saturated fat from a ruminant like a cow, which typically resist PUFA accumulation. Even breed and time of year will affect the fatty acid contents, so to be sure you always have to test. In this case, looks like the fat was a crisco (pig lard, maby), coconut oil (highly saturated) and corn oil (highly unsaturated) blend.
On a related note, on the labels of food you buy, the types of fat listed can be wildly different from what is actually in the food, simply because there is so much variation it’s not economical to test that much. Food items from smaller producers can also just use a generic label provided by the FDA, rather than actually testing themselves.