A lot of stuff does that when we don't know the definitive beginning, though. Wouldn't it be annoying if we theorized Population I as the oldest stars, and then they discovered two more generations before it? Then we'd have, like, Population 0 and Population A-prime or some such nonsense (astrophysicists love nonsense like that). It'd be one of those things like the Three Grand Soups (which is a list of four soups), or the Five Mile River (a 24-mile long river), or the NCAA Big Ten (a group of 18 college teams), or the twenty-two wonders on the list of Seven Wonders of the Ancient World, or the country name for Tuvalu, which means "eight islands" (Tuvalu contains nine islands).
Like the Spanish Inquisition taught us, never proudly name something after a number. You'll just end up having to leave and come in again.