The dangers of universal health care?

I've always been divided on the issue of universal, government-sponsored health care. On the one hand, I hate to see anybody NOT get medical treatment they so desperately need. I've heard horror stories, however, about the dismal state of health care in countries like Canada and England; two glaring examples of national health care. Now I've run across this story about little Charlotte Wyatt of England. So what I'd like to know; would the decision have been any different in a country that doesn't have universal health care?