Don't think I've ever flown on one, but I don't think the original poster was really understood. I think they're just saying, fine, go ahead and check the fleet to be sure that the flutter, identified as a known problem, is not a potential catastrophe in waiting - when the planes have been checked over for this specific potential problem and cleared, THEN they wouldn't have a problem flying the plane.
To put it in perspective, if you were driving your family around on those recalled Goodyear tires, wouldn't it be prudent to have them checked or replaced once a known problem has been found? It's not an issue of being frightened to fly, or statistics showing how safe it is to fly versus driving, it's about using common sense. If AA and the NTSB are checking all the planes, what is so bad about waiting for the results, given that you have a choice to fly another plane? Maybe, just maybe they'll find a problem with one plane and prevent another accident.
For the record, I wouldn't have flown all the other planes you're mentioning either if within a few days they suspected a design flaw, until they had checked the planes. I love statistics as much as the next guy, but to blindly quote them as a defense against anything bad that happens with planes is not using a lot of common sense in a situation like this, at least when you're minimalizing the other person's reasonable caution in a situation like this.