There is some counter example. France have free tuition and a very WTA election system. But this educational system has been kept thanks to the many struggle of workers through their Unions.
However I think this voting system may have some impact on other field, like the jail system; which is is awful. I mean no jail is not, but the state of France is regularly sanctioned because its break humain rights
There is no or a very small impact of regulation on the number of exiled people coming in country. However, making more people illegal let bosses exploit them more. Those workers could not sue their boss because of those regulations, and most conservative unions rely unfortunately too much on legal solutions.
So if a country couldn’t limit immigrations, it could exploit more people and bybass human right with regulations against exiled people.
Yes, this is only positive for far-right bosses, and awful for others. But guess who decide in a capitalist economy ?