Thank you, Growstuff and Janejudge for the sympathy for my dd.
I think all this is a symptom that the entire system is broken. Dd says they get a lot of ‘social’ cases, as others have mentioned, with people who need pastoral care, not operations or drugs etc. They need to be looked after in the community, not in hospitals, but A&E is the only place where anyone will listen to them. 
As well as the ‘strip of paracetamol’ patients, a not infrequent occurrence is people who have seen their GP but aren’t happy with the outcome, either because they disagree with the diagnosis (eg, they want antibiotics for an infection the GP says is viral) or they think they can queue-jump investigations the GP has organised by going to A&E, such as maybe getting a scan to look for gall stones. A&E doctors can’t do anything like that, it’s not within their powers. They have to refer on to the specialist department.
On the other hand, I can see how people end up at A&E. It seems to me there’s such a mishmash of services that it’s hard to know where one should turn in an emergency or when the usual places such as GP are closed. For instance, the other day I went to a part of our town that I’ve never visited before and there, in the middle of a residential area, was a stand-alone Minor Injuries unit! I’ve never heard of it, I have no idea how you access it or why you’d go to it when there’s an A&E maybe half a mile away.