To be fair, the argument often ran is when you are living with the woman (if you are a man), and married to her. The fact she is your helpmate (and you are hers as well) for life. Often including having children. So the dynamics of work, raising your children, and loving/taking care of your spouse. The engagement is going to be completely different and not the same as a priest.
However, the state of the priesthood emulates this in the Church (i.e. the priest - Persona Christi the Bridegroom; the Church - the Bride.) And when the priest baptizes an infant child, or any person/any age, they are birthing that child into a new life in the Church - born of the spirit and water, from above. The priest shares in the intimate embrace/union of a husband and wife cooperating with their desire to bring forward new life. And so, emulating that new life further in the life of the Church - in the manner God places and enrolls that child into His love/Covenant. Does the priest thus emulate in cooperating with that birth of the child through his or her baptism.
From that time being, does the priest confer the graces of the Sacraments over your child. Or any soul through the Rite of Christian initiation. This entails furthering your commitment (as a parent) to see to it, your child enters fully into the Kingdom of God. And that also means when certain affects of life take you down from the Church (usually through sin or sickness.) The priest continues to assist that child’s life through Confession and Anointing of the Sick. Then as the child grows and matures, and wants to be in that relationship in giving new life. They can then submit themselves to the role of marriage. So thus the Sacrament of Marriage entails. Or in Holy Orders, If a lady, she can become a Sister Religious. If a man, a priest.
There’s a shared life between married person’s and the state/life of the priesthood. For, as most priests were born between a mother and a father (both in the state of Matrimonial bond.) And from there, does the priest know/under his role having been a child experiencing the marriage of his parents, does he understand marriage in that way. So thus when the call comes, and knows God’s calling. He then settles out to become a priest. And from their does he emulate that state in Conferring the Sacraments.