Art, music, humour, poetry are more basic and the commonality is more or less "I bring you surprising phenomena". If phenomena are surprising to you then your mental model of the world needs improving.
What's Riemann's last theorem?
What's the purpose of this? You didn't disagree, you just went on a tangent. Is this another "brain hack?" If so, there is something wrong with them. They often make words appear to be something that they are not.
Like a magician would use a thing called "indirection."
But like it or not, humans are not computers. They are animals with messy, complex thinking and reasoning that is impossible to fully describe, and incredibly complex societal systems created from their chaotic interactions. These messy people don't learn from datasheets and reference manuals, even if you'd like it to be otherwise.
Of course, there's a place for non-fiction, I like some of it a lot. But art has subtlety to it - instead of smacking people in the face with data and lists of objective measurements, it can pry into them by using the human ability to imagine themselves in other shoes, experience emotions that aren't results of real life events, and much more. There is a reason why parents teach their children values by reading them fables or educational stories, not the legal code of their jurisdiction. And this is also why fiction actually changes the minds of people reading it, arguably doing it more effectively than nonfiction. Slop (clickbait, average tiktok content, whatever else you're imagining) doesn't make you feel new things or think of something you haven't thought of before, art does.
The aiens are also a bit of a copout. You're just assuming that there's bound to be this perfect species (that are effectively computers) that operate only on mathematics and discrete logic, who are obviously superior to us and can show us our wrong ways. What if computers aren't always superior? Or what if organic life requires some of that messiness you don't like to be viable? What if the aliens had their own weird things we could never relate to?
I think alien intelligence would be able to appreciate art and humor, even without necessarily feeling it viscerally, as we do. We know that our particular brands of them rely on highly-developed and specific aspects of our psychology, but at a basic level, they seem to fundamentally be about congruence, incongruence, expectation, and interpretation/perspective. Any embodied intelligence that can observe physical reality is capable of grokking those concepts.