I mean, if you get a message from system or your designated notifications account (since you can change it as discussed above), why would you ignore it?
Don’t get me wrong, I can see why you’d want to have a secondary username for just moderation notices instead of ALL notices but I don’t think they happen fast enough that it becomes an issue.
Though, I could be wrong, we are still working on our migration in-house to migrate our 30 million+ messages board active with thousands of users, once that’s done, I’ll be able to have a large dataset that I can view and control at any time and see how fast or common notifications happen or what my moderators find annoying.