The physics/economics definition is basically that time average = ensemble average. (The term "expectation value" is used in the Nature paper you reference, but that amounts to the same thing.) But individuals do not experience the ensemble average. A condition on averages is not the same as a condition on individual outcomes.
That’s how I used the term. YC experiences the ensemble average, while individuals are unable to realize their expected value because they only have one lifetime.
Which could be equal to the time average, and thereby satisfy the definition of "ergodic" that was given, without in any way contradicting this:
> while individuals are unable to realize their expected value because they only have one lifetime.
I am not disputing that this happens. I am only disputing the use of the term "non-ergodic" to describe it, or the term "ergodic" to describe a hypothetical world where every individual experienced exactly the average outcome.