There should be two factors in place when I believe you consider writing a note - you don't believe you will make it, and you have a prolonged time of agony where you don't have anything better to do.
We believe they flee the tent. Why would they carry paper and pen with them? It is true that
Askinadzi recollects Zolotaryov holding a notebook and a pen. Nobody but Colonel Ortyukov has seen what was inside, and nobody has seen the pen and the notebook after that. It was dark. And seems that they had plenty of work to do, or to hide, to the very end. And it was dark, cold, fingers frozen. Maybe Zolotaryov tried if Askinadzi can be trusted. maybe Ortyukov hid what Zolotaryov wrote as part of the cover up. Who knows.
I have been in an avalanche, rockfall, car accident, mugging at a knife point, lost at night in winter in the mountain... not once I felt like I should leave a note. The only time I have heard people leaving messages are suicide notes, writing in your own blood when bleeding out, or airplane lost control and you have some time to kill before you crash.
In my opinion, this case is weird, but not leaving a note is not the weirdest aspect of it. After all they were not huddled in the tent under an avalanche waiting to slowly die in control of all their faculties.
This message was initially sent as PM and I asked Ian to post it in the general discussion for other members to comment as well.