No, I am saying he is recognizind Madara's chakra when Naruto arrives on the batterfield. And from there I made the connection with the rest.Kurama doesn't recognize Madara Chakra when was Tobi use him for two motives:
-first, could be or not Madara.
-second, They will not reveal his identity so easily.
Another thing, Kurama before the battle between Madara and Hashirama( long before the kuuybi attack the village) was captured and humiliated by Madara. It was in that moment that Kurama learned about his Chakra.
Of course, I didn't stated that they will reveal his identity so easily. It was just a thought I wanted to share with you guys, as I previously stated.
And yes, I remembered that thing with capturing and then with the fight between the two of them and so on.