It is not for any prophet to embezzle. Whoso embezzleth will bring what he embezzled with him on the Day of Resurrection. Then every soul will be paid in full what it hath earned; and they will not be wronged.
Times are computed by method; your mosque's timetable governs the adhan. Every text carries its source and grade. Nothing here is a fatwa, a prediction, or a substitute for a doctor: your own scholar decides what is contested, and the tradition itself says the practice is alongside treatment, never instead of it.