There are tons of positives, and tons of negatives, to opening up your story to the world. (This isn't really daily life, it's the end of a 5 year stint.) If it's not for you, fine. But that's your decision, not his. And vice versa.
Because a lot of people go through the aftermath of being fired, so having somebody else to empathize with is nothing if not a reminder that you're not alone.
Because talking through events is healthy. Whether that's in public or private is totally up to him.