In my mind, if I look at a drop-down and "model D" is down but "model C" is up and I need the API running NOW, I'm going to change the option to the one that's working.
That being said, every company I've been at with a production outage has gone into "fix it and ask questions later" mode. Maybe other companies have more process?
But when you put it like you said in your comment, it does feel more weighty