There's a difference between Familiars, the servant of a witch that is completely bound to serve them and tend to their needs (Anthonies, Clara dolls, Pyotr and Polina, etc.) and Familiars, the small spawns of witches that don't have labyrinths per se but do alter space around them and lure people in and will eventually become a witch and drop grief seeds when they do. We don't know if they're the same thing, or if there's a divide between the two types of familiar or more of a sliding scale: as a witch becomes more powerful their familiars become more sentient and split away to become more witches. At this point it's up to fanon which one we go for, unless the upcoming fourth movie promises to explain this, we might as well use whatever kind of familiar we want.