Does the book mention Saint Kabir by name?

The name you mentioned is not found within the provided text of the Shri Sai Satcharitra. The book's author, Hemadpant, is described in Chapter 50 as a 'nominal cause,' with the narrative emphasizing that Sai Himself is the true speaker. The primary objective articulated is to cultivate 'steady devotion to Sai' and to help the reader's heart become pure. The text encourages focusing on the message that is present, stating that when 'the stories of Saints fall on the ears, not a trace of sin remains.' The Satcharitra is thus presented not as a comprehensive historical record but as a tool for spiritual attainment through devotion to Sai.