That kind of rotational system is used in the Church of Jesus Christ of Latter-day Saints. Every role, from teacher to pastor, in a local congregation is done by lay members. Because each person rotates between various roles over the years, there are no political incentives to try to climb the ranks.
It might play out differently in a workplace setting, but a rotational system works well in that religious context.
It might play out differently in a workplace setting, but a rotational system works well in that religious context.