They're pretty much the same, and have nothing to do with...

"First, you have to understand a very important concept: in some systems, what’s best for a group is not necessarily what’s best for the individuals who make up the group. In other words, the total wealth of a group of people could be increasing, while almost everyone making up that group could be seeing their wealth diminish. When this happens, we say we have a non-ergodic system. If the system was ergodic, what’s happening to the collective would also translate to all individuals."

...which is how the article defines "ergodic" in the section with that name at the start.