the colour seems off, like it's too white compared to the desaturated medic coat, also looks a bit too jagged and less like cloth

How about a style where the scarf covers the lower half of Medic's face. Y'know for that plague doctor look for when he's wearing the Blighted Beak and Grimm Hatte.

It's nice, but I feel like the cloth could be a little more "dense", thicker, to have a bit more depth.