there are as many different understandings of the gospel as there are people
I would have thought there are a few foundational things upon which we can all agree in the church — the innocence of children and the infallibility of the prophet.
In this case it seemed to me the two were in conflict and it felt like church members were split (Jana's data seems to confirm). I got interested in understanding both points of view. My sample size is small, but here it is: I talked to 9 members who supported the policy and 6 who didn't. The 9 who did were all current or former leaders, 3 of them in ward or stake relief society presidencies. The 6 who didn't were a mix of primary teachers, a choir leader, and a librarian.
Some of the ones who didn't feared that their standing with the Bishop would be damaged because they had trouble answering the question about supporting their leaders even though they loved and admired them. They just couldn't get comfortable with this policy.