Wow! Why so much interest in a heterodox church? I cannot imagine why the schismatic bishop of Rome should elicit such interest.
When we say, "I believe in one Holy Catholic and Apostolic Church" are you thinking that includes Rome as well? If not, why such interest in the papacy?
Because one day maybe they won't be heterodox.
Because we are supposed to pray for the forgiveness of others. In recent years, the RCC has shown at least some measure of increased good will toward the Orthodox, such as with the return of the relics of St. John Chrysostom.
Plus, there are a lot of RCC people out there. You can't just ignore people and not pray for them. Disagree with them yes, if you have to, but neglect? No, I can't do that. Jesus said we have to pray for our enemies. And enemies is a very strong word.
That's just my opinion.