Only someone who has never led a large multi-staff congregation would make such a foolish statement that "everyone should go" when the Lead Pastor moves on.
Maybe they should go, maybe not, but the real issue is whether the Lead Pastor has the authority to hire and fire. If so, then it also means the Lead Pastor has the authority to create and manage the staff team. He or she can and should make those decisions on a regular basis. "Are the gifts and talents and training that brought us to this point what we will need into the future?" In other words, there should be no reason for everyone to officially offer their resignation if the in-coming lead already has that authority.
The larger the ministry, the greater the need for coordinative authority by paid staff. Simply removing staff because the Lead is leaving puts all of the ministry at risk. Then again, that's assuming the Lead or Senior Pastor knows how to manage staff. That is a skill set not taught in seminary. Or any other ELCA program other than a yearly meeting for pastors of large congregations.
And, as a more important aside, this issue is, IMHO, the primary problem with our model constitution. And it's the likely reason the vast majority of our congregations are small and declining.