In the flashback between them he's wearing a red scarf, and since she always wanted to give him one, it probably stems off of from that scene.
I think it might just be for style? Like his headband you mentioned. LOL. I wonder if he still has the kyuubi, especially if he's still sleeping.. but in the sketch Naruto uses his kyuubi mode, so Kurama is fine.

The scarf is gonna come alive at this point XD
Holly kitten the scarf totally take the place of Kurama even the Kurama Naruto bond is neglected for NH and Scarf Tails
. How much more is gonna be rectoned and sidelined for NH to work 
I swear she's like a crazy stalker or something lol.
Unbelievable how she was forced on Naruto in place of the girl he loved.
Everything is forced and rectoned just so NH/SS can work really this is the most disgusting kitten I've ever witnessed in my life
.
NS is ripped of so badly every NS moment and foreshadowing was given to NH/SS , here is what Trollmoto has done for it to "work" he had to :
Rip of the NS forehead moment and give it to SS out of nowhere
Negate any NS interaction neglecting their bond completely
Rip of NS Red Thread of Fate MK and give it to NH
Rip of Sakura as the heroine and give it to Hinata to the point of giving her Sakura cloths style basically turning Hinata into Sakura and oversexualizing her
Rip of Naruto of his MC status by giving it to Sasuke him gaining everything and suddenly making him into a saint turning him into "Naruto"
Basically this is the rectoning of the century For SS to work it had to make Sasuke into Naruto and reverting Sakura to her P1 fangirl and For NH make Hinata into Sakura and Naruto the looser and act OOC and yet we were the ones who were reading this manga wrong oh the horror
.
Edited by NarutoFireFoxUzumaki, 21 November 2014 - 11:15 PM.