Oh wow. Here's my opinion on this. I am not currently involved in a roleplay and haven't roleplayed on FeralHeart in years. I had no idea this type of thing was going on until this post. I wonder why people don't let people within their group rp. Isn't that the point of forming a group? And with a group, not everyone is online at once. You'll get chances to roleplay with different people based on when they log on. But you'd be left with no choice but to sit there until a leader logs on. To me, it doesn't seem effective and can leave people to feel disconnected from other members of the group. I'm just as confused as you are. Wonder why they do this, exactly.
As for the conflict issue. I think I know what you mean by "conflict" in the group. Please clarify if i'm incorrect as to what you actually mean. Do you mean having roleplay tension or fights between your characters? Because, if that is the case, I totally see how this upsets you. Characters should be able to interact in ways other than just positive. In real situations, not everybody gets along. As long as two players agree to having conflict OOC and talk to one another before they rp a negative interaction, I see no problem with this. If people understand that it's just roleplay, it shouldn't cause any OOC drama at all. If anything, it should strengthen your relationship with the person behind the characters. You'll get opportunities to talk to one another about the progress of your characters' relationship.