Thanks for reopening this topic at my request.
I wanted to suggest adding a group admin setting to toggle notifications when a group is invited to a message. It’s stopping me right now from inviting moderators to a bunch of messages. For this particular group, we all need access to the messages but we do not need to be informed of every message.
Most moderators will have notification level set to normal for this group and will not be expecting a bunch of emails and extra notifications in discourse when invited to messages.