I am UK-trained but live and work in rural Africa. Here, generalists train 'on the job' to be able to perform basic and life-saving surgery, and as others have said, the expectation here in such a rural environment as ours, is that general doctors can also perform some basic surgery. Often when we say 'life saving surgery' then people tend to think heart surgery, but by life-saving, I mean things like Caesarean section - by far the most common life-saving operation that we do here. Then basic laparotomy for ectopic pregnancy, appendicectomy, typhoid perforation... moving up to more complex things like managing bowel obstruction and strangulated hernias. Then simple routine operations such as basic hernia repairs, hydrocoele repairs... I have personally chosen to steer well clear of operating, as I think it is one thing to be able to perform a procedure under supervision with someone who can help you sort out your complications, but it's entirely different to learn it to the degree that you can dig yourself out of your complications as well. And we don't have anaesthetists here, so you also need to learn how to do spinal anaesthesia or give ketamine. I have done one Caesarean before here without another surgeon, in life-or-death extremis (having also done the spinal anaesthetic) - but I had a very experienced theatre assistant, who had spent the last 10 years learning on the job and assisting with similar surgery and could probably have done it himself. And I certainly couldn;t have done it completely solo without his help. But even out here in our field hospital in rural Africa - we have a simple operating theatre, the appropriate sterile equipment, assistants, the kit and basic monitoring to administer simple safe anaesthesia. And we would never do 'heart surgery', however you define it, as we don't have any of the monitoring etc that you would need during / after.
And as I said before, out here in Africa, and probably in many places, knowing how to do an emergency Caesarean saves many more lives than knowing anything about cardiac surgery.