Europe is a whole damn continent, so no, it's not true. It's not true even for the entire EU. I happen to live in Croatia which is in EU, and I know first hand

Europe is a whole damn continent, so no, it's not true. It's not true even for the entire EU. I happen to live in Croatia which is in EU, and I know first hand that in Romania and Bulgaria health system situation is even worse, as I spent some time there. You get urgent operations like if you're in car accident and you're brought into the ER, of course they'll not let you bleed out. But if you need, say, heart aortic valves replaced (happened to my mom), or anything else a bit more advanced, you end up on the waiting list, and unless you pull connections and give bribe that means months of waiting.