Slava Isusu Christu!
The essential problem for some is that Byzantine Catholicism doesn't offer the clarity of position that Latin Catholicism or the Eastern Orthodox Churches do on specific doctrines and ecclesial identity. The reality is each Christian views his or her faith through a specific lense of experience, knowledge, and context.
The Byzantine Catholic Church, although called by canon law, Vatican II, and Rome to return to Eastern Orthodox traditions, law and praxis, has the vocation of bringing about Church unity and this means that it is a bridge Church--which may live into a certain ambiguity of positions. As explained before some Byzantine Catholics express more adherance to Latin theology and customs to the extreme of following the totality of Eastern Orthodox faith and praxis--which means rejecting many Latin doctrines and theological reflections not to mention forms of prayer and culture.
Diversity of thought and praxis is not unusual in Catholic, Orthodox, and Protestant Churches and again expresses the reality that individuals process their faith tradition through their own filter of experience. In other words, there is no cookie cutter Christian in actuality for all seem to view their Church a little differently then others. Christianity is not akin to a fast food franchise where all parishes and people think and act in the same manner.
Diversity is good for Christianity and likewise healthy for the Catholic and Orthodox Churches--a diversity rooted in right faith and morals. But, again if a person was looking for absolute uniformity where the faithful are alike in all things--this is an impossibility. I have come to the conclusion that the notion of a Christian tradition which does not evolve and progress through history and indeed change is naive at best. So to answer your original question is impossible for each Byzantine Catholic is an individual Christian who approaches his or her faith taking or leaving Eastern or Latin practices and notions at will.
There are so many nuances in which Byzantine Catholics may take their expression of faith that it is almost impossible to produce a catechism, a liturgical translation, or any restoration which will please all the people--in fact Byzantine Catholics may seem like a confused lot on identity and praxis, but we have our common faith with Latins, Orthodox, and Protestants in the Nicene Creed and a desire for Church unity. It's not a perfect situation, but what Church really has it down like Walmart, unless one is talking about the Mormons or the JW's.
