Zermatt crevasse rescue team
From memory (a few weeks since I watched it) it would have been a royal pain in the ass to get him on the backboard. Nigh on impossible to get him on there without moving him around a lot. You need room and a couple people to get someone on a board effectively. By effectively I mean without moving the patient around lots and loosing the spinal immobilization. You need to be able to access the head and sides of the patient just to strap him in once he is on there.
Also that could have been a false floor in the crevasse, they need to get the guy on a rope ASAP.
And thirdly recent studies are proving that back boards aren't as vital as we previously thought. I don't think we will be using them much in awkward situations (mtn rescue) in a few years time.