I thought someone may say that however I find that argument...unconvincing. I agree that Seven helped her and she didn't do it all on her own but the fact still stands that a [7/8/9] year-old girl, with some instructions, managed to override controls from the bridge. I still find that staggeringly easy for a Federation starship.
It's not an argument, it's what actually was depicted, so I'm not sure how you can characterize it as unconvincing. As far as I can tell, none of what happened was because of Naomi's intuition or knowledge.
Honestly, it's not significant enough to take any further, but I think there's a difference between being shown exactly the sequence of controls to deploy and simply remembering the string and carrying out the action, as in the former, and actually figuring out how to manipulate a control system on her own, as Naomi appears to do in the latter instance.
At the same time, while I know it wasn't the point you were originally illustrating, I would certainly concede that Naomi did seem to be very intelligent, perceptive, and displayed an interesting complexity of character for one so young.