If the book doesn't mention my Guru by name, does that imply their path is not recognized or valued by Sai Baba?

On the contrary, the teachings in the Sri Sai Satcharita suggest that the value of a path is not determined by a specific name being mentioned. Chapter 19 puts the entire burden on the devotee's own actions with the words 'Ye yatha mam' (As they approach me...). This implies that the sincerity and focus of your devotion are what matter most. Sai Baba’s teachings encourage nourishing good thoughts, no matter their origin, promising that "great satisfaction will be felt" and the "intellect will also develop." The book encourages you to surrender with an undivided heart and "witness the wonder of devotion," suggesting that your personal connection to your Guru is the key.