I can see wanting it to not move too fast, but by no means is it realistic. Even a shy kid will just blurt out what's on their mind. The day they got engaged, I asked my mom's fiance if I could call him dad. We barely new each other. But I liked him and he was going to marry my mom, so that would make him my dad now. It would make more sense if this little girl thought "I like her. She's kind, beautiful, smart, and married to my dad, so that makes her my mom now"
My only complaint about this story is that our sweet little girl is not calling the FL mom yet