I'm in a high end private school and our kids are HORRIBLE during safety drills. There is no school wide expectation of silence and during one drill, kids were screaming in the stairwells. When I went to admin to try and address this school wide, nothing was done, no sense of urgency to change the behavior was shared. In a true emergency, kids at my school will likely die because they refuse to listen.
I will tell you that during public school safety drills I've been a part of, kids are silent. We did not experience kids leaving after attendance was taken like the OP describes, but I do know schools like that. It's all screwed up like everything else.