Sheer speculation on what the new situation means. You simply are clawing at possibilities that JPII never spells out. Show me the text, Mr Cut and Paste. Show me the text that explicitly says what the "new situation" John Paul II is open to regarding Petrine authority.
The Protestants think this "new situation" is an invitation for them to find a way. Why do they think that? Didn't JPII spell it out that this "new situation" refers only to the Orthodox? We won't even get into the abominable nature of such a compromise since Vatican I rules the Pontiff out of being marginalized into a moderator of the Eastern Churches. On second thought....
Furthermore, it follows from that supreme power which the Roman pontiff has in governing the whole church, that he has the right, in the performance of this office of his, to communicate freely with the pastors and flocks of the entire church, so that they may be taught and guided by him in the way of salvation.
So, then,if anyone says that the Roman pontiff has merely an office of supervision and guidance, and not the full and supreme power of jurisdiction over the whole church, and this not only in matters of faith and morals, but also in those which concern the discipline and government of the church dispersed throughout the whole world; or that he has only the principal part, but not the absolute fullness, of this supreme power; or that this power of his is not ordinary and immediate both over all and each of the churches and over all and each of the pastors and faithful: let him be anathema.
That apostolic primacy which the Roman pontiff possesses as successor of Peter, the prince of the apostles, includes also the supreme power of teaching. This holy see has always maintained this, the constant custom of the church demonstrates it, and the ecumenical councils, particularly those in which East and West met in the union of faith and charity, have declared it.
I am convinced that I have a particular responsibility in this regard, above all in acknowledging the ecumenical aspirations of the majority of the Christian Communities and in heeding the request made of me to find a way of exercising the primacy which, while in no way renouncing what is essential to its mission, is nonetheless open to a new situation. For a whole millennium Christians were united in "a brotherly fraternal communion of faith and sacramental life ... If disagreements in belief and discipline arose among them, the Roman See acted by common consent as moderator".
Vatican I rules the Pontiff out of being marginalized into a moderator of the Eastern Churches
Vatican I does not rule out the situation of exercise of the Supreme Pontificate that existed in the first millennium. Pretending that it anathematized St. Leo and St. Gregory is sheer foolishness. Let me add that JP II, in UUS 94, was in complete agreement with your cite as regards the powers of the Papacy:
With the power and the authority without which such an office would be illusory, the Bishop of Rome must ensure the communion of all the Churches. For this reason, he is the first servant of unity. This primacy is exercised on various levels, including vigilance over the handing down of the Word, the celebration of the Liturgy and the Sacraments, the Church's mission, discipline and the Christian life.