I get what you're saying about GPs work loads, dd, but I was under the impression that in the past (my childhood, mid-sixties) GPs did a lot of little jobs that then got foisted onto hospitals. For example, when I was eleven I escorted a younger child to the GP surgery up the road from my primary school so that the doc could look at, and put a stitch in if necessary, a torn ear-lobe. The escorting part by a child (I was a responsible one and nothing went amiss) wouldn't be allowed nowadays but, that aside, GPs haven't been putting stitches in cuts or bandaging injuries for yonks. Back then they did. Now it all goes to A&E. Maybe it's turning around again. It's work better, like most of the rest, if there were more doctors, of course, but there weren't enough doctors being trained when my brother went to med school, so people said.
Yes, I know district nurses (or any other kind) have to be paid but they don't have to be paid as much as GPs but they equally capable (moreso in some respects) on quite a few health matters.
Yes, I also know there isn't enough money in the pot.