I should clarify my stance -- for me it's not a money issue. I think if you were to ask for a refund, you may very well get it. This is based purely on the fact that LA provides the 14-day guarantee, and many people buy from them based on this promise alone. I agree that Live Aquaria did their best to get it to you in the best condition possible. But I prefer what Blue Zoo says, which is "NO guarantees" and therefore the responsibility is placed solely on the recipient. Then there's no issue of who's at fault or who is entitled to a refund.
However, from a moral perspective asking for a refund is probably not the best thing to do -- as gigantea owners we know that NO retailer can guarantee the health of a gigantea (this is why I have an issue with iBlueWater because they imply that by paying more, you're getting a healthier specimen).
I think that we all share a unique curiosity and passion for gigantea, and we will all do WHATEVER we need to get the gig to survive. I've treated quite a few gigantea now, and my results are mixed. But, every time I QT a gig it requires tons of water changes and it's a lot of work. I don't mind doing it though, because the ultimate goal is to have a healthy specimen. Unfortunately, many times our hard work does not pay off. In your case, I truly hope you can bring your gigs back.