I know that Eliezer knows quite a lot of mathematics. His article was clearly written for people who are at least a bit comfortable with mathematics. So it's reasonable to suppose (1) that a substantial fraction of readers will have encountered something like the mathematical notion of "uncorrelated" and might therefore be confused by having the word used to denote something else, and (2) that in notifying Eliezer of this it's OK to be pretty terse about it.

For the avoidance of doubt, I'm not disagreeing with anything you said, just explaining why I just made the brief statement I did rather than offering more explanation.