You presume it had anything to do with the actual experiences of the babies. They are just babies, you know. Obi-wan told us everything we need to know.
Through the Force, things you will see. Other places. The future... the past. Old friends long gone.
This is what allows her to see her mother, not infant memories. Since she still denies having Force abilities at this point (despite "hearing" Luke at Bespin), she thinks these visions are memories.
Luke didn't have visions of his mother, and Leia certainly didn't have any visions of her father. In this respect, they are quite equal.
Man...now I remember why I got burned out on T.n.