Well, given the way Babs operates, I wouldn't think working with the JLA would necessarily involve her ID going public. And Hal was dead at the time anyway. And Dinah, also having a history of a high place in JLA hierarchy, worked with Babs for three or four years of publishing time before she got any hint at her ID beyond formerly being Batgirl, and maybe another year after that before they met face-to-face.