Was Adonijah's grab of the throne, while David reigned, ever referred to, by any authorities, as a co-regency?

From Adonijah's self-exaltation (1 Kings 1:5) to self-debasement at the horns of the altar (1 Kings 1:50), was this time period ever referred to, by any authorities, as a co-regency, regardless whether Adonijah's claim to the Throne was right or wrong?

Nathan the Prophet seems to claim this as a co-regency, when he refers to Adonijah's reign, as a fact, that it has happened and continues to happen, to the moment that he speaks the following:

1 Kings 1:11 "And Nathan said to Bath-Sheba, Solomon's mother, saying, "You have surely heard that Adoniahu the son of Haggith has reigned, and our lord, David, did not know [it]."