I had a riding accident 6 months before I married and had a huge hole in my face. There was no talk of a plastic surgeon to stitch it up - such a thing did not exist in my local hospital. I was stitched up by the SHO who was on duty in A&E. He was a wanker (first injection of local into the point of my chin without even a nurse to hold my hand!) but did a bang up job. He should have put in internal stitches, but didn't, because he was an SHO, not a plastic surgeon. I was left with a very visible scar, albeit down the line of my cheek. It has faded a lot, but if I am ill, or very tired, it is very noticeable. I was never offered any kind of plastic surgery.
DD1 fell and split her forehead open when she was 4. It was taped together with steristrips and although it left a scar, plastic surgery was never mentioned. It is mostly hidden by her hair.
I agree, if it is a really bad scar, then something should be done, but to be honest, most scars fade with time and you get used to them. In my wedding photos, the scar is very visible. Well, so what? Nobody ever mentioned it to me, including the secondary aged kids that I had on my teaching practice just a week after the accident, when the scar was very, very red and noticeable. There again, maybe they thought I had been doing something 'cool' to get it!