I'm in group chats that often devolve into 2-3 talking about something between themselves. While I'm busy with other things I'm not interested in being distracted every single time something is said because I think the notification might be something that requires attention. Once I have some free time I may be interested in going back to see what was said, but if I know they're going off and I don't want to hear about it at the moment I'd like the conversation to automatically mute for a short period of time.

The assumption is that by that point I am aware of the messages and have chosen to ignore them for the time being. There is no need to notify me because I've already been notified