Email, I can agree with it. Logs, I can see value in. It is nice knowing which moderator suspended a user (as another moderator) in case issues arise.
The logs aren’t giving away any data that I can’t likely find using different pages, it just makes it easier for me to find what I’m looking for.
One thing I can’t find that the logs provide to a Moderator, is if the User was suspended previously. So let’s say they make a second offense, and they were already suspended once for the first offense. I may want to suspend them longer this time for their second offense. But if I can’t see that they were already suspended previously, I can’t easily make that decision.