I just realized I don't think I've ever seen an official ruling on this question, even though we've been playing it as close we can to RAI.
So, let's say you've got a big ol' 4x3 Reanimate block with Lingering Dead. It takes 16 damage, wiping out the entire back rank. But the trays are still there, of course, since that's what Lingering Dead does.
Later that turn, Ankaur Maro takes a skill action to add 2 full trays to the back of this unit. These are added behind the empty trays, if you're going strictly by RAW.
What happens at the end of the turn? Is the unit split apart?
We've been playing it where first you add 2 empty trays, then you add 2 trays worth of reanimates, starting from the frontmost part of the unit that has empty slots. But there is absolutely nothing in the rules or FAQ (as far as I know) to support this solution.