While that's "true", I think, in part because I'm never seen it done so soon before, aside from parts being filmed back to back like LOTR or something, is that they just wait for the "smoke" to clear, or let the bad taste in people's mouth a chance to be lessened or forgotten.
So while they don't HAVE to wait, I think they always will.
2013 Song Draft
What's Going On
Sweet, Sweet Gwendoline
This Is Ponderous