I could be. I know that crowning and the Holy Eucharist are independent and that the Antiochian Orthodox still have the crowning rite at the penitential marriage. But the idea is that the Holy Mystery of the Eucharist is not received in the celebration of the Second or Third marriage.
Yet O.C.A. has stated that “It is the practice of the Church as well not to exclude members of second marriages from the sacrament of holy communion if they desire sincerely to be in eucharistic fellowship with God, and if they fulfill all other conditions for participation in the life of the Church.”
For the sacrament concept:
Fr. John Meyendorf writes in
Marriage: An Orthodox Perspective, p. 28-29:In its canonical and practical tradition, the Church also remembered the fact that the Eucharist is the true “seal” of marriage. Marriages concluded before Baptism, i.e., without connection to the Liturgy, have no sacramental meaning.
and
In cases where the married couple was not “worthy” - i.e., when the marriage was not in conformity with Church norms - they partook not of the Sacrament, but only of a common cup of wine blessed by the priest. This practice-similar to the distribution of blessed bread, or antidoron at the end of the Liturgy to those who are not “worthy” of communion-became universal and is still adopted today.
Another source is Orthodox theologian Alexander Schmemann,
Theology and Eucharist:The theology of manuals stresses the sacramental power of the Church or, in other words, the Church as the “distributor of grace.” But it overlooks almost completely the Church as the end and fulfillment of the sacraments. For grace is another name for the Church in the state of fulfillment as the manifestation of the age of the Holy Spirit. There has occurred a very significant shift in the understanding of the sacraments. They have become private services for individual Christians, aimed at their personal sanctification, not at the edification of the Church. The sacrament of penance, for example, which was originally an act of reconciliation *with *the Church is understood today as a mere “power of absolution.” Matrimony, which at first had even no special “liturgy” of its own and was performed through the participation of a newly-wed couple in the Eucharist, is no longer considered as the
passage — and, therefore, transformation — of a “natural” marriage into the dimensions of the Church (". . . for this is a great mystery, *but *I speak concerning Christ and the Church," Eph. 5:32), but is defined as a “blessing” bestowed upon husband and wife, as a simple Christian sanction of marriage. The Eucharistic cup is replaced in it by a cup “symbolizing” common life. Examples like these can be multiplied. But no theological deformation and no piety, based on this deformation, can ultimately obscure and alter the fundamental and organic connection of all sacraments with the Eucharist, as the sacraments of sacraments, and, therefore, truly *the *Sacrament of the Church.
St. Vladimir’s Seminary Quarterly, Vol. 5, No. 4, Winter 1961, pp. 10-23
http://www.schmemann.org/byhim/theologyandeucharist.html