See also: “Why you shouldn’t let ‘donation matching’ affect your giving” at GiveWell. (http://blog.givewell.org/2011/12/15/why-you-shouldnt-let-don...)
Administrative time is always at a premium in non-profits, and optimizing for lower overhead in time and work is a reason for many things that might otherwise seem a little puzzling in their persistence.
> non-illusory matching may exist in some other circumstances. A couple possibilities: coordination matching and influence matching.
The author doesn't think much of those either, but IMO he's wrong and both would certainly qualify as genuine 1:1 matching.