The good deed and the evil deed are not alike. Repel the evil deed with one which is better, then lo! he, between whom and thee there was enmity (will become) as though he was a bosom friend.
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.