Of course we have to use common sense here. Absolutely.
We were not there. The police officer saw something. The statement from the police service said that the reaction from the children gave reasonable concern, coupled with the language used. I can say 'I'm coming to get you' to dd and it's a fun, shrieky giggly game. Somebody else saying to a child can be threatening them. I don't think we can say that just because smacking isn't illegal, then threats of physical violence do not matter.
It stays on record because as somebody says, the paper trail is necessary should anything occur in the future. If nothing occurs then she has no reason to worry. It avoids the 'why was nothing done at the time, why wasn't it noted' in 5yrs time in those situations where something was happening.
And why was it left for 6 weeks before investigation? Of course I don't know. I do know however that in the cases I have first hand knowledge of, the facts of the investigation are never fully revealed in the public domain and easy accusations of 'oh it was left 6 weeks, the police were doing nothing, it wasn't a problem after all' can be very, very wide of the mark. Of course you never find out the truth as it's confidential and involves child protection. I do allow that the 6 weeks might have indicated a lack of urgency but again we do not know.
I'm pleased a police officer responded and even more so am pleased that nothing is believed to be happening here.