No, they will do what they have done in the last 20 years which is import people from the middle-east or northern Africa to do the jobs and pay them the lowest wage possible.
My wife works in healthcare in Sweden and more than 50% of the people who work on the hospital wards/in age care these days are either newly arrived migrants or descendants of recent migrants.
Unfortunately most of these people are under-qualified, barely speak Swedish but they are cheap.
That puts a lot of pressure to keep the wages of everyone down because they keep bringing more and more people from abroad. This isn't even a fix because as soon as they get their permanent residencies or citizenship (for the ones who do not have it), these people move on to something else because the jobs are just awful with long hours on your feet and being treated like a servant by the patients/residents.