PollyParanoia - Still sounds like a pop at only children to me.
When I had my only child, I gave birth to an individual whose personality was pretty much set from birth. I do not seek to influence his inate personality nor, God forbid, live my life through him.
The description of parents you give sounds like so many I know - all parents with more than 1 child.
If I can influence my DS to pick up his clothes when he removes them, stop liking Top Gear and to complete his homework with some degree of regularity, my life will be complete.
We taught him to read and fostered his love of books, we taught him to count. His delightful state primary has taken on the baton. If they drop it we will make the decisions we, as his parents, see fit for his education.
Can't think why so many parents seek to explain and justify their decisions and I certainly don't see why others care so much.
If this woman wants to send her child to a boater-wearing private, good luck to her. I hope she stays in the private sector, then 1 more child can have a shot at the place that her DD won't be taking up.