One overlooked point is that a lot of LDS boys join BSA because LDS tells them to do so. "This is a good organization for boys, and you should join it." And so they do. Will some of the boys stay in BSA outside of LDS units? Undoubtedly. But I bet most of them will leave for whatever church-approved activity is next promoted by LDS. Most of those boys are gone.
Actually it is my understanding that boys of the correct age in the LDS church are automatically registered in the appropriate level of Scouting regardless of whether they ask to be or not. The LDS Church pays the fees. In other words, the LDS Church does not say "you should join", they say "you HAVE joined." The boys are then automatically moved along to the next level in the LDS Scouting program. In other words, when they turn 14, they are not asked whether they wish to move from the Boy Scout troop to the Varsity team. They are moved.
Based on what I have read, some do not even participate, even though they are registered, but the large majority do participate, because the LDS version of the BSA program is the official youth organization of the LDS. But now it is only for those ages 8-13.
I am not saying that everybody or even a majority would "vote with their feet" and join a non-LDS troop where they can remain in the troop until they are 18 or join a "regular" Venturing crew when they individually decide to, not automatically at age 16. But I think some would make that choice.
Edited by NJCubScouter, 11 May 2017 - 01:42 PM.