To be fair, she also couldn't ride a bike until last summer (this time, through fear of falling

) but then it clicked really spontaneously. Like she went from barely being able to balance, to cycling along the road, in the space of 10 minutes. It was bizarre. We now cycle to school every day and they've just done their school cycling proficiency thing and she came 2nd in the class for the balance / control game they did at the end.
So I guess there's hope that one day she'll simply swim off across the pool like a little fishy.