Its to protect his voice. Singers particularly opera singers wear scarves year round because it protects the vocal chords/throat. Google "singer scarves". Makes sense he protect his voice. There's some pretty high notes he has to sing.
Yeah, sorry, long time AIC fan, and WIll fucked it up, all he had to do from the off was let his hair down for one [You're not F**KING LENNY KRAVITZ] and two, stop try harding to sound liker Layne, it will [sic] never happen.