As a general rule I agree.
However the issue here is going to be the damage that will result from their employers being publically identified as having hired them, plus the additional risk to reputation if those employers are discovered to have hired them knowing full well who they were.
In college in the 1980's, I wrecked my car and got a DUI, and I sincerely regret the episode. I've had to own up to that on every job application (and a ton of other things) ever since.
In every single instance, I've been told that a youthful mistake would not be held against me in evaluating my qualifications. And, as far as I can tell, it hasn't been.
I received compassion and understanding throughout my life for this, even immediately following the event.
I could have killed myself, or worse, someone else. I've been treated better than they apparently will, and all they did was sing an offensive song at a private party in the company of their friends.
The response is grossly disproportionate.