The link also gives unsatisfying reasons for why it says they don't work, e.g. incumbents keep winning elections.
I haven't studied the matter really closely, but from what little I do know of the issue, it makes me wonder--are Arizona, Washington, and NJ examples of the hyper-gerrymandered states that citizen redistricting is supposed to prevent?
Could it be that, in those states, they're already starting out from a pretty equitable district layout, such that when the citizenry gets to redraw the layout, it doesn't actually matter much?
Or, put another way, how would a citizen redistricting panel work in Florida or North Carolina or Texas?
That link says that they work in Canada, and they work in Australia too.
Without an underlying reason identified, this conclusion is somewhat unsatisfying.