Your story is about a man's denial that his father, currently in critical condition, would die. Yes, the probability that humanity would solve death in the hour of life his father had remaining was low. I'm talking about humanity's denial that death is just a giant bag of problems that we can, eventually, solve one by one. The probability that humanity will solve death in the next thousand years is nearly 100%; the probability that it will be solved in our lifetimes may be low, but it's not 0. (Keep in mind, 1000 years is ten times the lifespan of an exponentially accelerating medical field, not simply 1% of the whole human history in which basically no progress was made.)
If we had a simple, maintainable, cheap machine that could keep people alive for 100 years without a working heart or lungs, there is no ethical dilemma, and the line between "killing them" and "letting them die" becomes pretty blurry.
The reason this matters is that once we actually start to realize that death is a problem that we can actually solve, then we can get the fuck to work on it! We could be investing so much more than we are in treatments like ECMO. There should be a national moon-landing-level initiative to make these machines available to everyone. But the longer we mope around with our learned helplessness, calling people like me naive and in denial, the more people will die needlessly.