"Do you really think that people who have paid their dues and who are on a waiting list for treatment (perhaps in pain) would see this as fair?"
I doubt they would. But as I'm constantly reminded, life isn't. Which in turn brings me to the suggestion that you stop such sick people coming in in the first place through mandatory health checks, if there's to be any realistic action on this. I don't see that it's any good standing over the sick immigrants and tutting -- and while, yes, it's a drain on our resources, I'd argue that it's a necessary expense.