No, It is not “some of the Eastern Churches.” It is ALL of the Eastern Churches not in communion with Rome AND ALL THE CHURCHES JUDGED BY THE HOLY SEE TO BE IN EQUIVALENT CIRCUMSTANCE.
Your reading of the canon is too narrow…
ANY communicant of one of the venerable Churches of the East not in communion with Rome, and those who are judged equivalent to them by the Holy See, may ALWAYS AND FOR ANY REASON OR OCCASION licitly receive the Eucharist, Penance and Anointing of the Sick administered by a Catholic minister., if properly disposed
Said another way: For the East not in communion with Rome and those equivalent, there are NO special conditions required, aside from being properly disposed and asking it of their own volition. It does not have to be a special occasion. ALL THEY HAVE TO DO IS APPROACH THE MINISTER for the sacraments and we are to give the sacrament to them. Please do not make the norms stricter than they are Again, the plain language of the canon is perfectly straight forward:
Catholic ministers administer the sacraments of penance, Eucharist, and anointing of the sick licitly to members of Eastern Churches which do not have full communion with the Catholic Church if they seek such on their own accord and are properly disposed. This is also valid for members of other Churches which in the judgment of the Apostolic See are in the same condition in regard to the sacraments as these Eastern Churches.
Now, the following paragraph of the canon treats those who do not fall under this rubric (such as the Anglicans, the Lutherans and other Christians who believe in the real presence, absolution of sins and anointing for the sick but are judged to lack apostolic succession). Then there are special provisions – but even then, Penance, Eucharist and the Sacrament of the Sick may licitly and rightly be given to these non Catholics when those conditions are met. I have done this on many occasions across the decades – when those asking fulfill what the canon requires: that they believe what a Catholic believes about the respective sacrament, are properly disposed and provided the situation accords with what the bishop has directed in compliance with the canon.
Here the guidance of the bishop, either the diocesan bishop, or at least the conference of bishops, is essential – apart from the circumstance of the danger of death when it may always be done, provided there is a Catholic faith in the sacrament being requested. Once the guidance is issued, it is to be faithfully implemented by the clergy. The Canon says.
If the danger of death is present or if, in the judgment of the diocesan bishop or conference of bishops, some other grave necessity urges it, Catholic ministers administer these same sacraments licitly also to other Christians not having full communion with the Catholic Church, who cannot approach a minister of their own community and who seek such on their own accord, provided that they manifest Catholic faith in respect to these sacraments and are properly disposed.