Well, at YMCA camp when I was 9- I was allowed to shoot a .22. I see kids as young as 7 going out with parents to the range and shooting. It really is a lifestyle. A certain way of training your children to behave in public and teaching respect for inanimate vs. live objects. ie; it is a gun vs. it is an extension of you. [You point your finger- then your weapon becomes an extension of your finger reaching out and touching the target- with deadly accuracy]
Kids who go out shooting often- are taught that picking up a weapon as an inanimate object can have dire consequences.
But-- (this is a big but!) No family I have ever known; has ever jumped into first time shooting range/lesson with their kid and allowed them to use an automatic weapon. I don't know if that is what the family in the story did- but I could not imagine a family giving an instructor - or asking an instructor- permissions or contract to allow a fresh face to handle an automatic weapon. And to be totally honest- I absolutely can not imagine any instructor worth his salt- being swayed by parents inquiries or monies- and allowing an inexperienced shooter access to an automatic weapon.
I can tell you that my 7 year old niece can stop her 1300 lb Pinto on a dime, flag and beginner barrel, and pleasure ride; but her hands and wrist are nowhere near strong enough to control an uzi. Neither can my 17 year old daughter.
So yeah, I think that there was a very serious lack of adult rational thinking going on - or the story is not entirely the truth- that an instructor put an automatic weapon in the hands of a nine year old.
On a side bar- I wonder if that shooting range will face any legal consequences for allowing that instructor on the range? I would guess it depends on the State's laws in what constitutes responsibility between the instructor and the facility he was allowed to use.