Whenever I have a leader who says something with which I don't agree to some degree, I always try to put myself in the position of that leader - then treat that leader and their words like I would want others to treat me and my words.
I don't want others to accept everything I say as God's own word and "follow" or "obey" me blindly, but I also don't want them to disbelieve and doubt everything I say. If I am in a position of perceived authority, I want to be taken seriously and have my words accepted generally - simply out of respect for my effort. If I'm ignorant or a jerk, that's different - but if I am trying my best, I want to be challenged lovingly and privately (whenever possible) when someone disagrees. (and I really do want to know when others disagree)
Ultimately, if I am leading an organization, I want my final decision to be accepted generally by those who aren't in a position to know of and understand all the details that affected my decision - especially if they didn't let me know of their concerns at the time of my decision. If hindsight proves I was wrong, so be it. I just hope others will understand I did the best with what I knew.