The saying of (all true) believers when they appeal unto Allah and His messenger to judge between them is only that they say: We hear and we obey. And such are the successful.
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.