Yes. And while I can totally believe that later on, when Dick was an adult, she could reconsider and develop and interest, that shouldn't automatically mean she's insecure around the woman he dated in the meantime.
As to the question of what Dick wants, they are very different in some ways, but it doesn't seem all that strange to me. Babs, from Dick's pov when they met, was a gorgeous, funny, strong, smart woman. It's not like next to Kory she becomes a frump. Why can't they both just rediscover each other later when Dick's old enough for them to interact in a different way?