What is the message that shows that the other party has muted the message?

This situation shows that the other party's mobile phone has set the SMS notification mute mode.

"SMS shows that the other party has muted the message" means that the other party's mobile phone sets the SMS notification to mute mode. Even if you receive a text message, there will be no sound or vibration prompt, which can be adjusted in the settings of your mobile phone.

Set the SMS notification to mute mode, usually because the other party doesn't want to be disturbed, such as in a meeting or when you need to concentrate.