Got a synthetic 'pashmina' (that's what it was called, even though it's not the finer spectrum of cashmere wool?) I use; relatively thin acrylic compared to a scarf, about 6'x2' dimensions. Would love an upgrade to wool vs acrylic, as I like to sleep next to a fire, and having it draped over my face raises concerns over sparks.
I mostly use it as a scarf nowadays in winter, and though generally preferred a fleece neck gaiter in the past due to packing size, it has become my equivalent of Lionel's 'security blanket', haha. As a scarf, I make sure the ends aren't flopping about, so stick in my coat to add some insulation about the chest; wish I could say I wrap it in a way that would allow it to just slip off, but while fast and easy to set, the fabric would fail before the wrap/loop. But, it has lots of others uses, as mentioned before; sizable pieces of fabric/material are mighty good for that! Sleeping out, I throw it over my face to cut down on exposure to cold or bugs, and to retain some humidity. Winter I bring a hat, but inbetween seasons it makes a serviceable head cover/hood/wrap, and is very adjustable/multi-purpose, unlike some very specialized gear available. Though far from necessary, it's made a cozy throw many a time for fair-weather naps!
Spent a month in India some years ago using a ridiculously thin cotton one, where I acquired my fondness for loose pieces of fabric. Everyone had one, and used it for everything from protection from sun and dust, bindle, or drying off, even clothing!, etc. Much more uses, as you can imagine a mass of necessarily resourceful folk might find use for.
Mors Kochanski talks about making one out of silk or parachute nylon, I think in his cold weather clothing video. He sews them in such a way, I think like a pillow-sack with some extra tricks, so that it has a few other handy uses, such as a liner or bivy, uhm, can't-remember, etc. I think he referred to it as his 'survival scarf' or the like. Kind'a reminded me of a super-duper aviator scarf; small, but unfolded and fluffed, lofts out nicely. One of the fun projects I'd like to try, if I can get access to a sewing machine!
'Scarves', in one fashion or another, definitely get the thumbs up from me. OP said it very well, 'the bandanna of winter'! I think of them as various pieces of fabric, more or less in differing weights/dimensions, and they can just about always be used for something!:thumbup: