score:3
According to the Catena Aurea, one Procopius of Gaza, an early commentator, says that "Some say they are three angels, others that one of them is God with two angels, and others that there is a figure of the Holy Trinity." Since the words "Trinity" and "Triune" appear nowhere else in the Catena, this appears to be a minority opinion. This is the only reference in the Catena to this teaching, and the person giving the teaching is not even identifying it with his own belief.
Upvote:2
St. Augustine (from On the Trinity Ch. 2) seems to be suggesting (in 19) that the Three Visitors could very well be the Three Persons of the Holy Trinity
See: https://www.newadvent.org/fathers/130102.htm
- ... But under the oak at Mamre he saw three men, whom he invited, and hospitably received, and ministered to them as they feasted. Yet Scripture at the beginning of that narrative does not say, three men appeared to him, but, The Lord appeared to him. And then, setting forth in due order after what manner the Lord appeared to him, it has added the account of the three men, whom Abraham invites to his hospitality in the plural number, and afterwards speaks to them in the singular number as one; and as one He promises him a son by Sara, viz. the one whom the Scripture calls Lord, as in the beginning of the same narrative, The Lord, it says, appeared to Abraham. He invites them then, and washes their feet, and leads them forth at their departure, as though they were men; but he speaks as with the Lord God, whether when a son is promised to him, or when the destruction is shown to him that was impending over Sodom.