We've got the honor of the coven to uphold, after all.
There's the name that you're given, usually by your parents.
And then there's the name that you earn.
And, as the ancestors knew, living by name—reputation—is a long-sum game.
Name is vulnerable. Everybody screws up or makes a bad decision now and then. One mistake can destroy a name that you've spent years building.
But that isn't necessarily the end. It all depends on what you did before and on what you do after. Name is about consistency.