That's the most interesting one to me too, but I think the explanation is pretty normal.
The whole crew was in a tent when they heard an avalanche, or thought they heard an avalanche. They thought the tent was going to get swept away and bugged out - someone sliced the side open (probably one of those old-school multiple-zipper openings that was too complicated to mess with or got stuck in the emergency) and they just beat it from their tent as fast as they could.
That explains the condition of the tent, the clothing they were wearing, and the footprints leading from the tent.
Unfortunately, the avalanche didn't get the tent, but DID take out four of the crew, knocking them into the ravine where they died. The one girl was face-down in the stream at the bottom of the ravine - her soaked-up face got waterlogged and decomposed differently than the rest of the body.
That explains the injuries and the location of the four bodies with injuries. It also explains the missing parts of her face.
The other five avoided the avalanche, but now were hundreds of yards from the tent, in the dark, in a storm, in -20F weather, without proper clothing. You can't live long in that. Some of them tried to build a fire, but it wasn't enough or the storm put it out. The others tried to make it back to the tent, but died on the way.
That explains the five who died of hypothermia, the position of their bodies, the broken branches, and the one with burns on his hands.
I think that's easily the most likely explanation.
Possible explanation #2: Same as above, but no avalanche, they were just freaked out by something else and left the tent in a hurry. Could have been a strange noise, group hysteria, delusions due to hypothermia, anything. The four in the ravine fell in there while running from the tent and sustained injuries from the fall. Everything else explained the same way.
Possible explanation #3: Military test shyt. Bombs started going off, the group freaked out, some got hit by ordinance and died, others died in the cold. Soviet military covered up additional details that would have pointed to that explanation.
If you've ever seen people acting crazy due to hypothermia, and you've ever seen animal bodies partly decomposed in the water, then a lot of the weirdest details don't seem quite as weird any more.
This doesnt explain the radiaition and color of their skin on the dead bodies