You might find the notion of the stoic “sage” interesting. It’s more or less the impossible manifestation of perfect human virtues in one human being; something akin to being a perfect human all the time, though not godly.
It wasn’t thought that a Sage would be emotionless at all, but would actually embrace emotions fully. They would just be the ideal emotions to express for the given circumstance.
It’s a far-fetched idea but the case for emotion being unnecessary is refuted well by stoicism and other philosophies (in my opinion). I think the idea that a perfect entity would feel nothing may be inspired by the fact that as humans, we’re often victims of our own emotions and we fear how they can control us. In reality, they’re a useful tool of expression, positive reinforcement, and communication. The only problem is when they aren’t the product of careful reflection and ongoing consideration.