In Elon Musks' case this should be Tesla (and probably some other court mandated muzzles) and should be on their Twitter clients, and other "designated publication channels" that the ruling covers.
Why? Because remembering to not do things is a restraint that is extremely mentally burdensome and thus difficult to get correct 100% of the time.
Also, this should probably apply to CEOs and other "public figures" as a general practice they work with through their PR and marketing firms.
The fact that twitter and other platforms are closed only makes this innovation more difficult to add to end user clients.