Perhaps this is the Maslow citation from that book:
"...to enlarge the conception of science so as to make it more capable of dealing with persons, especially fully developed and fully human persons."

This (or similar) citation(s) is(are) often found in transpersonal, esoteric, humanistic psychology...writings. From the context I gather that the persons citing Maslow take the words as an advice to leave the scientific method of enquiry. I read it as an advice to apply it to more fields it has not been applied yet such as personal experiences. But you may have read the opposition I got when I applied scienctific concepts or results to personal experiences reported by others in these threads.

Even if the issue was clearly not the experience as such but its interpretation (to borrow the clear words of Skeptic on this difference).

Wolfgang