Github seems to be down.
Edit: After I made this, their status page finally updated to indicate an issue.
Update - We are experiencing interruptions in multiple public GitHub services. We suspect the impact is due to a database infrastructure related change that we are working on rolling back.
You're describing proper incident response but I fail to see what that has to do with the status page. They have core metrics that they could display on that status page without a human being involved.
IMO a customer-friendly status page would automatically display elevated error rates as "suspected outage" or whatever. Then management can add more detail and/or say "confirmed outage". In fact that's how the reddit status page works (or at least used to work), it even shows little graphs with error rates and processing backlogs.
There are reasons why these automated systems don't exist, but none of these reasons align with user interests.