I read this last night, I read through most of the articles, but I wasn't sure if I was completely qualified to answer. I still don't think I necessarily am, but I enjoy speaking about this segment of history. As you've said before, you did not want to see merely a restatement of the fact that a bias is possible, so I will try to refrain from doing such. (I'm about to refer to the Orthodox Church's beliefs, and use the word "we." If anything I say is false, please correct me) In the Orthodox Church, it is believed that historically, the Schism of 1054 was less of an eruption, and more of a final whimper of sorts. In the beginning of the faith, when the five patriarchs were established, with Peter leaving Antioch originally to become the bishop of Rome, there was no such thing as either religion, as we know, and it was the Church. It was for a long time prior to the Schism, though, that the two faiths were referred to as separate, and a long time of differences gradually being established, believed by the Orthodox Church to be on the instigation of Rome. The bishop of Rome challenged the other major leaders of the church through the general objection that there was only one true successor of Peter, who was the rock on which Christ would build His Church. From this, of course, springs the issue of papal infallability. In the article it is mentioned that a reason for the schism of the churches was the mere fact that the language preferences were different. If this contributed to the final schism, it was not one of the main causes, as there are major differences in the doctrines of the two churches. The article suggests the possibility that the Eastern Church is not unified due to the fact that they were under four distinct patriarchs, but this became increasingly false as they unified in Orthodoxy, and in the present day, other heads of the Church are remembered by every priest, bishop, etc. in most (if not all) services. There is a strong sense of unity and in doctrine as well as faith in the Orthodox Church. The Orthodox Church and Constantinople during these times did not have an inherent "jealousy of Rome," and this was not in any way the reasoning for the Schism. The East continued to live in the faith that it had always had, rather than altering doctrine as the West had.
I'm not sure if any of this helped any at all, but I hope it gave you at least a little, or encourages someone else to post something. I'd be happy to share more if someone would like me to do so. I still try everyday to learn the history of my faith, and in doing so I hope to climb my ladder of obstacles.
-Passionate Orthodox teenager