Not a lawyer, but I think the government has more ability to prevent you from doing something than forcing you to act.
They can tell you to not remove the canary, and not tell anyone your logs are being monitored, but it is trickier for them to say you must re-sign this certificate.
That sounds like much more of a nuanced law question than a "are these the same".
While they might be able to stop you telling the world, they might not be able to force you to perform actions that cause you to lie to the public