[[Sister, you wrote about Regina [Kreger] -- the new lay hermit --- on a way which makes it clear that you think a lot of the lay vocation. What makes her life different from yours? Is it the evangelical counsels? Is she called to a lesser degree of holiness? Lesser separation from the world? I am trying to hear what changes with consecration.]]
I've written about this a lot so let me give a brief answer and you can look up the specific topics. Every person is called to holiness, an exhaustive holiness, rooted in one's baptismal consecration. Every person who is baptized and a member of the laity is obligated to embrace the evangelical counsels though poverty and obedience will not be religious poverty nor religious obedience because 1) such persons (most anyway) are responsible for raising a family, and 2) they are free from having legitimate superiors. Still, while they have not received the second consecration associated with initiation into the consecrated state of life, and while they have not been graced in the way God graces those with the new and differing rights and obligations associated with the consecrated state, they have been consecrated in baptism and called to a life of genuine holiness.
There have always been lay hermits. Think Desert Abbas and Ammas. They live the evangelical counsels and the call to holiness rooted in the consecration of baptism. But they do not live this vocation in what the church calls "the consecrated state" because this state is entered through a second consecration and associated with rights and obligations beyond those associated with the baptized or lay state. Until 1983 there was no possibility of such a solitary hermit being admitted to the consecrated state of life (hermits in institutes of consecrated life are a different matter). That only came with canon 603. I would say the consecrated state differs from the baptized state in these terms. It is not better than the baptized state but it is different, both in the way it is constituted and in its rights, obligations, and expectations -- as well as the grace associated with these so that one might adequately live this state of life.
In terms of its call to holiness I would argue it is the same as the call to holiness in any other state of life, lay (single, married), or ordained. This is exhaustive. What is important to recognize is that the life of the lay hermit may look exactly like mine, for instance; they may even live a more exemplary hermit life in greater solitude, poorer circumstances, etc. What differs is the presence or absence of the second consecration and the rights, obligations, expectations of the faithful, and the associated graces (which includes structures and relationships for the ministry of authority). Still, the call to holiness and the requirement of the evangelical counsels (as value or vow, but not profession) are very much part of the lay hermit's life. This is true by virtue of the sacrament of baptism; the second consecration is often called a "specification" of one's baptismal consecration.
Since Vatican II, a particular challenge and call the church has left the laity with is the refusal to see the lay state as a second class vocational state; they must esteem it appropriately. That means lay hermits need to clearly identify and claim the state in which they live eremitical life because it too is a way to live and come to an exhaustive holiness. To do so will be a significant witness to others and an affirmation of the potential of every life. Thus we have hermits in the lay, the consecrated, and the ordained states of life. In every case the well-lived vocation is a rare and admirable one which glorifies God and serves the Church.
Since Vatican II, a particular challenge and call the church has left the laity with is the refusal to see the lay state as a second class vocational state; they must esteem it appropriately. That means lay hermits need to clearly identify and claim the state in which they live eremitical life because it too is a way to live and come to an exhaustive holiness. To do so will be a significant witness to others and an affirmation of the potential of every life. Thus we have hermits in the lay, the consecrated, and the ordained states of life. In every case the well-lived vocation is a rare and admirable one which glorifies God and serves the Church.