Rainah said: "I always figured it was pretty much between the actor, their doctor, and those running the show. A director can say "Go on vocal rest" but they don't control an actor outside of the show. Likewise, an actor can say "I need vocal rest" but a producer can still send them on the talkshow circuit.
I have a demanding job, and people go on 'stress leave' often. It's basically the emotional version of vocal rest, and it's determined in conversations with the worker, their supervisor, etc whether that is the best course of action.
One would hope that if an actor thinks they need vocal rest, a show would support that. One would hope that if a director or producer requests an actor go on vocal rest, they listen. And one would certainly hope that both would listen to a doctor's recommendation.
As for stories, when I was at the stagedoor for Great Comet security announced that Lucas was on vocal rest and would not be talking, but still wanted to stagedoor. It was actually kind of cute/wholesome, everyone telling him how wonderful he was and him nodding emphatically and giving enthusiastic thumbs up."
In the past there have been announcements of so and so being on vocal rest. I believe ( and I might be wrong) that it had happened with Ben Platt at some point. I always thought it was decided on by the producers as a way to protect their show.
HUSSY POWER!
------ HUSSY POWER!