Yes. Weird that https://www.cloudflarestatus.com/ isn't reporting this properly. It should be full of red blinking lights.
Yeah. I only work for a small company, but you can be certain we will not update the status page if only a small portion of customers are affected, and if we are fully down, rest assured there will be no available hands to keep the status page updated
I have to say that if an incident becomes so overwhelming that nobody can spare even a moment to communicate with customers, that points to a deeper operational problem. A status page is not something you update only when things are calm. It is part of the response itself. It is how you keep users informed and maintain trust when everything else is going wrong.
If communication disappears entirely during an outage, the whole operation suffers. And if that is truly how a company handles incidents, then it is not a practice I would want to rely on. Good operations teams build processes that protect both the system and the people using it. Communication is one of those processes.