Is it a judgment of the time of (pagan) ignorance that they are seeking? Who is better than Allah for judgment to a people who have certainty (in their belief)?
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.