Only problem is, that Benedict is not O.S.B or Order of St Benedict.
He did however, choose Benedict as his papal name out of honor to St Benedict, the founder of the order. Therefore, I would assume if he did a good job and it did in fact "honor" St Benedict with his service to God, it would be to the "Glory" of the Olivitans.
He clearly has been Benedictine in stance and Spirit over the decades of his priesthood...as they say in the Vatican...some appointments are in pectore.