There appears to be another tradition which the good Father does not mention: St. John was apparently sent to Ephesus as bishop and Mary having been put into his care, he took her along. The tradition in the area is that he found a cabin for her on the mountain ridge behind the town where she lived until she was assumed into heaven.
I have been to the location and the foundation stones have been dated to Apostolic times.
My priest said that he believed she died in Ephesus too. There are other thoughts, however, on the subject.