To be fair, a whole uninterrupted week of highly focussed work can get you pretty far (considering that you have the necessary background, which Carmack has, i.e. related to linear algebra, stats, programming, etc.)
Figuring out the basics of the math and how to use whatever tools they use at FB is doable in a week.
Do I deserve to be paid for 5 years for something that may not work? "Deserving" something doesn't have much meaning: we, the humans, merely transform solar energy into some fluff like stadiums and cruise ships. Getting paid just means getting a portion of that stream of solar energy. There is no reason I need to "deserve it" as it's unlimited and doesn't belong to anyone. A better question to ask is how can we change our society so that all, especially young, people would get a sufficient portion of resources to not think about paying bills.
Chances to make a breakthru are small, but that doesn't matter. It's a big numbers game: if chances are 1 to million, we let 1 billion people try and see 1000 successes. The problem currently is that we have these billions of people, but they are forces by silly constraints of our society to non stop solve fictional problems like paying rent.
Take Albert Einstein as an example, who arguably made one of the largest leap in physics with his theory of general relativity. He never stopped publishing during that time.
Not quite. When you are a professor, you essentially become a manager for a group of researchers. You don't really do research yourself. Therefore, your main obligation becomes finding money to pay these researchers. So in reality you can only support the research someone is willing to pay for (via grants, scholarships, etc).
So I definitely wouldn’t dismiss all papers as pointless, but there certainly is a large percentage that are, enough that you can’t simply accept a published papers results without reproducing it yourself.