The person who cast the aftermath spell must pass priority to anyone who wishes to respond like any other spell cast in the game
Heck, Im using Mirkwood Bats in about 12 decks right now, between Food decks, Treasure decks, aristocrat decks, and even Mardu token decks like Zurgo and Caesar
That'll add up to nine cards and enough tapped creatures that we can swing in freely with our freshly untapped 9/9
Its especially good for cards that shine under close inspection , like clean holos, playable staples, and mid-to-high-value rares
The elemental incarnations, and the Theros titans (such as the recent Phlage, Titan of Fire's Fury), have triggered abilities that cause them to be sacrificed after they enter the battlefield unless they've been cast a particular way