Okay so having read through the original Eldar "resilient" rules (and the Thunderhawk rules from Armada), it seems like multiple attacks is not the intent of the rules. That said, I think I've now got a handle on why the first example looks like it contradicts this.
In the first example, TH1 removes S1 and passes its save, remaining where it is. The text of the example says that the SM player may then "have TH1 remove S2"... which seems to say that TH1 is making a second attack. From what I can tell though, what really happens is the SM player, who chooses the order of attacks, has S2 attack TH1, which removes them both. This is subtly different and comes about as a result of both groups being fighters AND the fact that the attacker chooses the order of interaction for both sides when the contact occurs. So this way, the two examples no longer contradict.
Sorry for being kinda long and rambling, I just wanna make sure I've got my head on straight. Does this look right?