The leave voters I knew didn't want this, they wanted all immigrants gone. They think we've enough of our own specialist healthcare workers to staff the NHS, and can't understand why their operations are already being pushed back due to insufficient staff. But they're still happy because "democracy".
(And yes, they're real. I've had to spend Christmas with them.)
I think it's horrible. We're all people, that's what should matter, not where we might have been born.