Rogue transmissions on ATC frequencies are immediately countermanded by the person who
knows it is a rogue transmission.
(i.e. the person who is being impersonated, whether pilot or ATC.)
Am I to judge the voice on the radio each time, and if I don't recognise it aske for a licence number? It was obvious from the context (to any professional) what was going on. None of the professionals involved were worried about it.
Where would I draw the line? If the child was slowing down the process by stumbling on the radio calls. If it wasn't obviously supervised, perhaps. I wouldn't have worried about this incident.