I stumbled across that show on NatGeo a year or two ago. These shows often have a high ratio of fertilizer to fact, but here is my take on it:

The clients were short on fitness, skills, and high altitude experience. The groom got very weak and slow as they got higher. The bride fell first, the totally spent groom fell too, and they all ended up injured in the crevasse. Kurt was the hero for getting out first and orchestrating the rescue.

NatGeo never even hinted at this, but I thought those clients didn't really belong there, even with a guide. I also thought Kurt should have turned them around long before the fall. When one member of the team can't cut it at ~11,700, it's time to admit that you probably aren't going to make it to 14,411 and back safely. Kurt is great guy, and I don't mean to slam him. I would love to hear his account of the story.