Did that have anything to do with religion, or because they were able to be
politically protected.
From Wikipedia:
At the time of the excommunications, many contemporary historians, including Byzantine chroniclers, did not consider the event significant.[79] Francis Dvornik stated: “In spite of what happened in 1054, the faithful of both church remained long unaware of any change in their relations and acts of intercommunion were so numerous that 1054 as the date of the schism becomes inadmissible.”[80] Kallistos Ware agrees: “Even after 1054 friendly relations between East and West continued. The two parts of Christendom were not yet conscious of a great gulf of separation between them. … The dispute remained something of which ordinary Christians in the East and West were largely unaware.”[81] The Russian Church felt so little separated from the Western that it instituted a liturgical feast to commemorate the largely violent transfer of the relics of Saint Nicholas of Myra from Asia to Bari in Italy in 1089.[82] This fluidity explains in part the different interpretations of the geographical line of division in the two maps given here, one drawn up in the West, the other in a country where Eastern Orthodoxy predominates. Areas such as the extreme south of Italy are interpreted variously as adhering to either East or West. And even in areas whose rulers took one position, there were some who gave their allegiance to the other side. An example is Kingdom of Hungary, where the Roman Catholic Church was upheld by the crown from the time of Stephen I, but "monasteries and convents belonging to the Byzantine Church were founded sporadically in the eleventh century.[83]
en.wikipedia.org/wiki/East%E2%80%93West_Schism
That portion of the article is amply footnoted, btw.
Also during this exact same time period, the prince Iziaslaff Yaroslavitch of Kiev was on excellent terms with the Holy See of Rome (though not for any religious reasons).
In all, Latin Catholics would not be unwelcome in Russia during that period. It was only in the 12th century that Russia generally seems to have succumbed to anti-Latinism.
Which bishops? I think the article you provided only mentions the Archbishop of Canterbury. The Archbishop during Harold’s reign was replaced 4 years after Harold lost the throne and was already deposed many years before that because he dared to be the bishop of two sees. Again, can you provide proof that “bishops were changed?”
Blessings,
Marduk