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The question of should is difficult to answer because of the divisive opinion of the FFXIII saga.
But let's ask: What is the question of will happen?
It's actually close to zero. Japanese business culture don't have a habit of firing people for lousy performance even if you caused the company to lose a million dollars. They don't fire you until you want to leave. Basically, they hardly ever fire people. When you get a job, a job is for life.
So, no, it won't happen under most circumstances. At the very drastic, they'd just pressure him into resignation, which he may or may not feel, but nobody will be fired.