I checked my groups. I can see members changing email addresses, adding alias email addresses, unsubscribing via the web (left), and more. This is through the Member Activity tab in Admin, Activity. There is a search box too.
I am assuming that the member wishes to unsubscribe from your group.?
If it is to stop email but keep being subscribed to the group, your member should use Change Your Subscription command in the email footer.?
I changed a member status in my test group (but online) - and I could see that in the Moderator Activity tab.
Hope this helps!
I tried to see what the member would get when they unsubscribe via email. I was brought to the group - it "knew" me already so I didn't log in. There were several options including changing frequency of emails.
Frances
Frances