Are you arguing that access to healthcare for the global poor isn't the best it has ever been and hasn't been getting better every year? Because we know that's the case.
But yes. In general the line that matters is "Can I afford it?". If it doesn't exist, the answer is no for everbody. If it does exist, and has a price tag on it, the answer is no for some people and yes for others. The "no"s in the latter situation are pretty much in the same situation as they were before the good existed.
Something he wrote that helped me understand: From the point of view of the wealthiest societies, everyone else looks poor. But there's a huge difference — in quality of life — between subsistence-poor and bike-to-the-market poor. In the second category, your children are probably going to finish high school and have a chance at professional careers. In the first category you're one injury or bad harvest away from disaster.
US and Europe have dumped over a trillion dollars in foreign aid to africa alone, 9x more than the Marshall plan post WWII.