At times the process of taking a neutral approach and/or vocalizing that neutrality demonstrates weakness. "Plan X makes sense because of A and B, but it does have this trade off D. That said, Plan Y could make sense if we really value D." In meetings, another person often lays out a single POV strongly and wins. Ideally, this opinion is strong because it's well thought out (and bias-adjusted), but sometimes it's strong simply because it's stated as such. "Plan Y is right. Because D, which I didn't even consider until now. <No mention of A or B.>"
Here, one would hope the group or group leader checks and balances this type of behavior so that a single biased-person doesn't carry a generally clear-minded group, but of course that doesn't always happen.
Considering one's biases is a very good thing, but I wonder if the pragmatics of group dynamics render it something good for the soul, but poor for action.