Obviously the name falmer is often interchanged for snow elf at times but I also understand that this is the term given only to the falmer as is known hostiles in caves and ruins. Also that the term is deemed an insult to the snow elves.
I also assume the term "snow elf" is not the correct answer as it is a description rather than name (such as wood elf, dark elf etc), not to mention it lacks the "Mer" suffix.
Have I overlooked somewhere in the game (or previous) for their accurate name, keeping in mind that my experience of game time in Morrow and Ob is somewhat limited. Is it ever mentioned or are they always just referred to as snow elves.