I also think you misunderstood my use of "should" in my last post. I meant that from the perspective of the general public, there is no reason to replace Babs. Why spend the time and money on rebranding the character when there is a perfectly usable one that has been the face of the brand for decades?
Outside of comics, Babs is the default, so why change things?
The only counter-argument I've seen is that people think she is more developed as Oracle, but many people who hold that opinion do not seem to be willing to acknowledge that it is possible to tell good stories with any and all characters who have used the Batgirl name; and that includes Babs.
No one has been able to provide a compelling reason why Babs should not be Batgirl. They have lots of reasons why they would prefer someone else (most of which are valid), but no compelling ones why she should not be Batgirl.