As I see it, the Gens doesn't affect anything at all except perhaps the name, since there's only 'threshold' related to the Gens trait. Whereas sharpness, charisma and vigour all have qualifiers that go 'affects GoodLeader 1/2/3, GoodAdministrator' etc etc. So on first look I'd say the Gens don't actually affect anything except to differentiate a Cornelius from a Statius or an Aemilius.

What's stirps, though, and is that the correct spelling? Always wondered what Caesar actually was. Clan? Family?