The CliftonStrengths assessment sorts a person's natural patterns of thinking, feeling and behaving into thirty four themes, then ranks them. That is the whole of what the instrument does. It is not a personality type, it is not a performance rating, and it does not tell anyone what job they should hold. What makes it useful on a leadership team is much simpler than the report suggests: it gives a group of adults a vocabulary for difference that nobody has to defend.
Most leadership teams already know they are different from one another. What they lack is a way to say so out loud without it landing as an accusation. When a director tells me her colleague never gives a straight answer, she is describing a real friction. She is also describing a person high in Deliberative who will not commit to a number he cannot stand behind. Both readings are accurate. Only one of them keeps the team working.
So the honest answer is this: what changes is the team's explanation for its own friction. That sounds small. In practice it is the thing that makes the rest possible, because a team that can describe its friction accurately can finally do something about it. A team that cannot will keep relitigating the same meeting for years.