I found a copy of the Constitutions of the Apostles (4th C;Tr. & Comm: Schaff)… the following is the comparison of the deaconal and deaconessal ordinations:
Concerning the Ordination of Deacons—The Constitution of Philip.
XVII. Concerning the ordination of deacons, I Philip36853685 One V. ms. has the following note: “Philip having proclaimed the life-giving word to the Asiatic diocese, has been buried in Hierapolis of Phrygia along with his daughters, having been crowned with martyrdom in the reign of the Emperor Domitian. Philip, who has the daughters, is one of the seven; it was he also who baptized the eunuch.” make this constitution: Thou shalt ordain a deacon, O bishop, by laying thy hands upon him in the presence of the whole presbytery, and of the deacons, and shall pray, and say:—
The Form of Prayer for the Ordination of a Deacon.
XVIII. O God Almighty, the true and faithful God, who art rich unto all that call upon Thee in truth, who art fearful in counsels, and wise in understanding, who art powerful and great, hear our prayer, O Lord, and let Thine ears receive our supplication, and “cause the light of Thy countenance to shine upon this Thy servant,” who is to be ordained for Thee to the office of a deacon; and replenish him with Thy Holy Spirit, and with power, as Thou didst replenish Stephen, who was Thy martyr, and follower of the sufferings of Thy Christ. Do Thou render him worthy to discharge acceptably the ministration of a deacon, steadily, unblameably, and without reproof, that thereby he may attain an higher degree, through the mediation of Thy only begotten Son, with whom glory, honour, and worship be to Thee and the Holy Spirit for ever. Amen.
Concerning the Deaconess—The Constitution of Bartholomew.
XIX. Concerning a deaconess, I Bartholomew make this constitution: O bishop, thou shalt lay thy hands upon her in the presence of the presbytery, and of the deacons and deaconesses, and shall say:—
The Form of Prayer for the Ordination of a Deaconess.
XX. O Eternal God, the Father of our Lord Jesus Christ, the Creator of man and of woman, who didst replenish with the Spirit Miriam, and Deborah, and Anna, and Huldah; who didst not disdain that Thy only begotten Son should be born of a woman; who also in the tabernacle of the testimony, and in the temple, didst ordain women to be keepers of Thy holy gates,—do Thou now also look down upon this Thy servant, who is to be ordained to the office of a deaconess, and grant her Thy Holy Spirit, and “cleanse her from all filthiness of flesh and spirit,” that she may worthily discharge the work which is committed to her to Thy glory, and the praise of Thy Christ, with whom glory and adoration be to Thee and the Holy Spirit for ever. Amen.
Concerning the Sub-Deacons—The Constitution of Thomas.
XXI. Concerning the sub-deacons, I Thomas make this constitution for you the bishops: When thou dost ordain a sub-deacon O bishop, thou shalt lay thy hands upon him, and say: O Lord God, the Creator of heaven and earth, and of all things that are therein; who also in the tabernacle of the testimony didst appoint overseers and keepers of Thy holy vessels do Thou now look down upon this Thy servant, appointed a sub-deacon; and grant him the Holy Spirit, that he may worthily handle the vessels of Thy ministry, and do Thy will always, through Thy Christ, with whom glory, honour, and worship be to Thee and to the Holy Spirit for ever. Amen.
ccel.org/ccel/schaff/anf07.ix.ix.iii.html
Given this, and the 6th century prohibition in the latin church of ordaining women by laying on of hands, it implies that the use of Nice c.XIV is that the Paulinists didn’t lay hands on their deaconesses, and thus their deaconesses were laypersons, but those who had been ordained deaconesses might be restored to that order.