This happens on startup for many critical systems. They turn every segment on and they turn every segment off.

Cars, famously.

Yeah, almost everyone has seen this self-test happen before, but most people don't realize that is what's happening.

Usually when these displays initialize they turn on every segment before displaying data for that reason.

Also, fairly trivial to detect if a display has a segment out and throw a fault if needed. It's also not likely you burn out a whole segment at once if you have it wired up with that in mind.