Remember the fight between Obito and kakashi in the kamui dimension?
many people argued that Kakashi did not have the kyuubi's cloak that naruto gave him while fighting obito,
Well That's infact incorrect, kakashi still had the kyuubi's cloak the entire fight against obito, It just didn't show because it was diminishing in size.
Meanwhile, Obito had no assistance what so ever in the chakra department even after solo'in the war.
Very interesting indeed.