It is not for the idolaters to tend Allah's sanctuaries, bearing witness against themselves of disbelief. As for such, their works are vain and in the Fire they will abide.
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.