Philosophically - sure. But philosophy is a feedback loop. Humans trying to build a model of their brain within their own brain. There is by definition not enough oomph there, and that model will necessarily be approximate at best.
Think that's what an out of touch techie would say? May I remind you that just a few hundred years ago the best philosophers were debating whether the world would descend into anarchy if more people realized that the big monkey in the sky doesn't exist. Just because philosophers talk about something doesn't mean it exists in reality.
As for same output - there's a parameter called "temperature". It governs the random wandering in the output of an LLM. Reducing temp gives more deterministic output, but also reduces the capabilities. Is it possible that randomness is also precisely the mechanism behind human creativity?