It's not so much that the Police replace medical care, it's that they can protect people (and the person) from harm. There's no point in calling an ambulance unless the person is physically unwell. Sadly the police are the safe option and it is what they are there for. I agree that it would be best if they could dedicate their time to murder and serious assault investigations but the fact is that offences are offences, even if just a minor one.