I don't think it would require a great "many extraordinary coincidences" for this to happen to a little girl. All it takes is for her parents to encourage it.

Certainly, as she grows, the overriding influence of her parents declines, but for a long time parents can be the primary driver in what a child determines to be appropriate.

Saying that "many extraordinary coincidences" are required for a little girl to like a puzzle game or legos or whatever else is entirely hyperbolic. All it takes is parents who encourage that behavior.