Way I see it, if a faction changes leadership and gets recalled shortly thereafter, that's just the sort of crisis an effective leader can use to their advantage. It all depends on how you look at the problem.
You could look at it as a wakeup call. Get your people together and get something going. Use it as a stepping stone to breathe new life into the faction, and build upon that foundation. It's hard work, but most folks don't mind a little work if it means saving something they've invested in.
Or, you could look at it as the straw that breaks the camel's back. Gloom and despair, gloom and despair, how will we ever endure this hardship? Better throw in the towel now.
I hate to say it, but if you're not the sort to choose option 1, no grace period is going to save the faction.
I'm fully aware of the sort of miracles a capable leadership team can work on an ailing faction, but it requires a lot of work and a can-do attitude. Or, failing that, enough stubbornness to dig your heels and refuse to let it die. And sometimes, even the best leaders will fail, because they're only part of the equation. If the faction's writers simply aren't interested anymore, it's kinder just to let it die.