Slavu Isuzu Christu!
My mother and extended family are Carpatho-Russian (Ruthenian) Byzantine Catholics. I listened to both podcasts, but the newest one I found a bit offensive. The interviewee was not raised Byzantine Catholic, he was just there on his journey from Roman Catholicism to Orthodoxy. One statement he made was the Byzantine Catholics were just "playing" Orthodoxy. Maybe that was was he felt, but it should not be taken as an absolute.
The Byzantines do take their teachings and theology from the Eastern Fathers. My grandma told me that the pope had sent emmissaries to bring them back into communion with Rome. Online I read a different story, that they (Orthodox at the time) found themselves under Austo-Hungarian rule and the switch was politically motivated to get better treatment. I'm not sure what the real story is, but I do know people in this region had a very difficult time with all the clashes of the rulers. My Croatian Roman Catholic Baba told me stories about living in Croatia under Austro-Hungarian rule and it was not pretty. One story she told was about an very old, poor woman who had no money to pay the taxes, so the Hungarian soldiers took her only blankets. I imagine the Ruthenian Orthodox in Slovakia were similarily treated. My point in this is that labelling people as "playing Orthodoxy" is a little unjust.
WHen I was a little girl, there were so many elderly men and women who were immigrants and the Byzantine churches were full of their prayers. I remember their simple clothes and their work-hardened hands and their lined faces. But they had a quietness and peacefulness about them, and a sureness of God's Love. God wasn't seen as a scientific entity but a Great, Holy Mystery. They didn't know about theology debates or people throwing out accusations of heresy. They just knew the Eastern Theology that was taught simply and plainly in their churches.
What I've seen here in America is the Byzantine Churches are attracting alot of traditional Roman Catholics who want the beautiful worship of the Eastern Church, but want to keep the theology and rules developed under the Roman Rite. Some of the priests are "bi-ritual", where they are Roman Rite born and raised, but learned the Divine Liturgy to serve Byzantine parishes that need a priest. So, you have this mix in with the ethnic Ruthenians and priests who were always brought up with pure Eastern Theology. Maybe the people who are running away from guitar masses might be accused of "playing Orthodox" but I don't think this is a fair assessment of all Byzantine Catholics.