That might be your question, but it is not the OP’s. The OP specifically asked about the religious state, which is not connected with the “Sacrament of Service”. The religious state is not a Sacramental state. The superiority of the religious state over marriage is not judged on how much “service” it renders, thus your distinction is very irrelevant.
Here is the question the OP asked
Does this mean that those called to this vocation are holier than married people?
Unfortunately for the OP, and this goes for several others on this thread,
there has been great confusion on the conflation of perfection in the Sacrament of Holy Orders or in religious orders, and the measure of holiness of whichever vocation a person is living out. Perfection does not equal holiness.
Vatican II has taught they are both Sacraments of Service.- Holy Orders and Matrimony. Vatican II has also taught there is a great relationship between the Priesthood of the People, given us in Baptism, and Ordained Holy Orders and in vowed religious. Baptism and our membership to the Priesthood of the People is our membership in the People of God that comes first. Some of us are then called out into religious life. Never forget these are all graces that flow from God. God set up the vocation to matrimony and the vocation to Holy Orders.
All vocations are vocations of service. Those ordained to Holy Orders, those religious with a vocation and vowed, are in the service of the laity, just as Jesus came as a servant and not to be served. First and foremost an Ordained or vowed religious or laity , be they single or married, belong to the Priesthood of the People. We are all priest prophet king, just as Jesus is. We were all given that first in the Sacrament of Baptism. We are all in a vocation of service.
Being a religious, being Ordained, being in the vocation of marriage is all about service. Why? Because Jesus is all about being a servant. That is precisely what Vatican II drove home.
There is no superiority of the religious state to marriage with respect to holiness. They are both crucial to the Church. To say one is superior to the other is just the type of clericalism Pope Francis is all about making extinct.
Superior does not equal degree of holiness, perfection does not equal degree of holiness.
Trent placed the Sacrament of Marriage on the lowest rung to all other vocations because it involved sex. Vatican II firmly put this Sacrament , this vocation , back into its correct place.