You really see it that way?
Partly - they seem to have pooled information and communicated well. The FO(s) seem(s) to have deferred to the Captain appropriately.
They just all completely misunderstood what was going on, and as a consequence got everybody killed. It strikes me that the big failings were almost certainly in all of their understanding of the situation and the behaviour of the aeroplane, not their ability to work together.
Who doesn't want their CCM telling them there's ice on the wing that hasn't been cleared as the aeroplane taxis out?
G