Originally Posted by
ohfellow
Much of fandom still calls her Spoiler, I've noticed, and I think the comics may increasingly reflect that too. It's been cute to see the Batgirls call each other "Batgirl" but that's almost a joke that may not be sustainable long term.
Barbara acts as, and is called, Oracle more than Batgirl these days. I think the name "Orphan" for Cass will remain retired. The Spoiler name goes back far longer than the Orphan name, so I think it will continue to stick, at least in many situations, and it may be very deliberate that Batman just called her Spoiler. So I can see the names evolving to Oracle, Batgirl and Spoiler.