Some of this is confusion of "style."
My tendency is to create a schematic symbol for a generic "2 pin connector" and then to associate all sorts of odd packages including mail and female, various terminations and sizes, all with that same symbol. But I've seen parts libraries that go and define the schematic symbol as a specific manufacturer's part number as well, at which point it only has a single package. I have suspected that this is due to the different requirements of professionals (who want accurate parts list that match the stockroom and purchasing's "list of approved vendors" and so on) and hobbyists ("let's see what I've got in my junk drawer.") I've also suspected that it's due to the age of some of the libraries that are floating around... Probably some of each.
Anyway, it looks like Sparkfun's library is set up in my style, at least WRT the connectors. They have an M02
2-pin connector symbol for the schematics, and one of the package options is a screw terminal block. (but they have more screw-terminal packages than are currently attached to M02. It is relatively easy to add additional packages to an existing part.)