ive passed what i have learned from you to my wife, personally i'd go with what you have said, But, wife knows of a couple that got fined with an overstay kid. (I don't know the details) so she is going to apply of an NonO visa for herself and our son.
However, she said that if it's difficult getting him a visa, she will get a nonO visa for herself and a 30day on arrival fof our son