Github has a clear resolution policy, and by the author's account they were also quite responsive, even on a weekend. If a temporary user account issue completely destroys the ability of a professional team at a company to interact with their production system, is it Github's fault, or is it the company's for not having a backup method of interacting with something so critical?
I like Continuous Delivery systems as much as anyone, but if something in that pipeline broke and it perfectly lined up with an everything-is-on-fire moment where I needed to deploy a hotfix? I'd just run my tests manually and deploy directly.