I am unclear as to what you are talking about
- although I comprehend what others have posted.
You might want to take a glance at the catechism regarding ecumenism.
A bishop attended an Espicopalian function as an invited guest.
He wore no liturgical robes and took no actual part in the function.
He attended as a Bishop of the CATHOLIC Church.
See:
scborromeo.org/ccc/p123a9p3.htm
from the Catechism of the Catholic Church:
818 "However, one cannot charge with the sin of the separation those who at present are born into these communities [that resulted from such separation] and in them are brought up in the faith of Christ, and the Catholic Church accepts them with respect and affection as brothers . . . . All who have been justified by faith in Baptism are incorporated into Christ; they therefore have a right to be called Christians, and with good reason are accepted as brothers in the Lord by the children of the Catholic Church."272
819 "Furthermore, many elements of sanctification and of truth"273 are found outside the visible confines of the Catholic Church: "the written Word of God; the life of grace; faith, hope, and charity, with the other interior gifts of the Holy Spirit, as well as visible elements."274 Christ’s Spirit uses these Churches and ecclesial communities as means of salvation, whose power derives from the fullness of grace and truth that Christ has entrusted to the Catholic Church. All these blessings come from Christ and lead to him,275 and are in themselves calls to "Catholic unity."276
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838 "The Church knows that she is joined in many ways to the baptized who are honored by the name of Christian, but do not profess the Catholic faith in its entirety or have not preserved unity or communion under the successor of Peter."322 Those "who believe in Christ and have been properly baptized are put in a certain, although imperfect, communion with the Catholic Church."323 With the Orthodox Churches, this communion is so profound "that it lacks little to attain the fullness that would permit a common celebration of the Lord’s Eucharist."324
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The Apostles’ mission
858 Jesus is the Father’s Emissary. From the beginning of his ministry, he "called to him those whom he desired; . . . . And he appointed twelve, whom also he named apostles, to be with him, and to be sent out to preach."368 From then on, they would also be his “emissaries” (Greek apostoloi). In them, Christ continues his own mission: "As the Father has sent me, even so I send you."369 The apostles’ ministry is the continuation of his mission; Jesus said to the Twelve: "he who receives you receives me."370
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The bishops - successors of the apostles
861 "In order that the mission entrusted to them might be continued after their death, [the apostles] consigned, by will and testament, as it were, to their immediate collaborators the duty of completing and consolidating the work they had begun, urging them to tend to the whole flock, in which the Holy Spirit had appointed them to shepherd the Church of God. They accordingly designated such men and then made the ruling that likewise on their death other proven men should take over their ministry."374
862 "Just as the office which the Lord confided to Peter alone, as first of the apostles, destined to be transmitted to his successors, is a permanent one, so also endures the office, which the apostles received, of shepherding the Church, a charge destined to be exercised without interruption by the sacred order of bishops."375 Hence the Church teaches that "the bishops have by divine institution taken the place of the apostles as pastors of the Church, in such wise that whoever listens to them is listening to Christ and whoever despises them despises Christ and him who sent Christ."376
The apostolate
863 The whole Church is apostolic, in that she remains, through the successors of St. Peter and the other apostles, in communion of faith and life with her origin: and in that she is “sent out” into the whole world. All members of the Church share in this mission, though in various ways. “The Christian vocation is, of its nature, a vocation to the apostolate as well.” Indeed, we call an apostolate “every activity of the Mystical Body” that aims "to spread the Kingdom of Christ over all the earth."377
864 “Christ, sent by the Father, is the source of the Church’s whole apostolate”; thus the fruitfulness of apostolate for ordained ministers as well as for lay people clearly depends on their vital union with Christ.378 In keeping with their vocations, the demands of the times and the various gifts of the Holy Spirit, the apostolate assumes the most varied forms. But charity, drawn from the Eucharist above all, is always "as it were, the soul of the whole apostolate."379
Code:
Despite what might be good intentions, we are not free to define the duties of a bishop.
The Church defines those duties. The duties include ecumenical outreach.
It is clear to me that the work of the Church in GA is the work of Christ.