"Intractable ignorance is a particularly pernicious trait when one purports to proclaim the Gospel, given that such a person or group is dealing with people's souls."
Can you, in several lines, present the Gospel, which, if men were to believe, they would have eternal life? Would you be honest as to your view of those who believe on Christ but who will not involve themselves in your religious apparatus?
"Can you, in several lines, present the Gospel, which, if men were to believe, they would have eternal life?"
In a few lines? No, that is far, far too simplistic, unless of course one wants to set up excuses for preaching heresy.
"Would you be honest as to your view of those who believe on Christ but who will not involve themselves in your religious apparatus?"
I've done that dozens of times here on FR and in life. Your question, however, is really impossible to answer because you haven't told me why these believers choose, if in fact they do, to reject the One, Holy, Catholic and Apostolic Church. In the case of those who knowingly preach heresy, that is to say, those who knowingly and intentionally preach strange doctrines contrary to what The Church always and everywhere has believed, I suspect they have condemned themselves, as the Fathers say. As for others, well, most Orthodox people would say we simply don't know since we have no way of knowing whither the Holy Spirit goes and its not our place to speculate on that.