Yep. I guess what could be done is a two-tiered status page: automated health check which shows "possible outage, we're investigating" and then a manual update

Yep. I guess what could be done is a two-tiered status page: automated health check which shows "possible outage, we're investigating" and then a manual update (although some would say it looks lame to say "nah, false positive" which is probably why this setup is rare).