Party dialogue and skill checks can exist even if the PC is the leader who has final say in decisions. So you could very well have the best of both worlds. Your story, influenced by your companions.
I find it appealing if not all options are avaible to me. I feel it helps roleplaying if I need to make decisions through what my character can do rather then being able to pass each check that I choose - to be RPGs are half about making active choices, and half about watching consequences of those choice (including the character I made and his flaws).
Perhaps, I just had poor experience with team based RPGs, but the ones I played I always feel it ends up being about composing the party that will pass every skillcheck rather being a reactivity to our character(s). If that is a case, I don't really see a point of skill checks to begin with. I suppose it can work in coop play, as at least it is not I who can do the task, but I always approach RPGs a single player experience first.
