Does Brexit mean more job opportunities? Watch
IIRC, it has already seen EU nationals leave. The question is whether the economic impact will destroy more jobs than are vacated, and if the UK has people with the right skills. It doesn't for the NHS.
The NHS is going to have even more of a shortage.
I'm not convinced that there's a horde of skilled Brits waiting to get jobs. There are also jobs moving to Europe. I would guess that the trades (e.g. plumbing) will see a rise in wages and a decrease in quality, with some less skilled jobs disappearing. I expect it to be negative for the UK economy, but I'm no expert either.
And yet we all know if you badly injured yourself and there was no one else around, you’d reach for the phone and beg public sector workers to help you.