[stcredzero]

the trick being you have to extract a JOINT property of the function evaluations, rather than the result of each one individually.

This is an even more succinct way of saying it. This is the key point that people need to know, which separates someone from understanding the real potential of quantum computers from "quantum woo."

Let's be clear, even with this caveat, the potential of quantum computing is enormous.

No question. But to think clearly about it, one has to know this caveat. Likewise, to understand the potential of conventional computers, one needs to actually be able to think about computation within its realistic limits, not treat them as magic boxes.