Chronicler stared at the red-haired man behind the bar. There was nothing left of Kvothe in him. It was just an innkeeper: friendly, servile, and so unassuming as to almost be invisible.
Ok, stay with me…
I think there are 3 things happening at once when we see Kote the innkeeper. First there is Ruh performer who can so well immerse himself in a role that he seems to literally BECOME the character.
Second there is the man who has been wounded by all we are learning little by little about his life up to the moment he dictates it to Chronicler. BUT also
thirdly there is the Namer who has or is somehow renamed by Himself. Is it on purpose to hide himself? Does he realize that by using an alias and speaking falsehoods that he is negatively redefining himself. THIS is part of the mystery we readers desperately hope to discover by the end of the series.