Intelligence is a very narrow and specific skill of discerning the real. It allows us to predict things. Coincidentally, it allows to make money and thus is well paid. It's ok if others disagree with me.
My two examples above are meant to hint that intelligence consists of two distinct skills: ability to keep a still detailed image in your mind (the 3x3 grid example) and ability to analyze this still image (the counting bottles example). The latter builds on the former because if the image is blurry in your mind, there is nothing to analyze (you can't see words in the 3x3 grid if it keeps floating away). We can go further and divide the two skills into say 10 distinct levels of mastery, define their characteristics, but the point remains the same: it's a steep ladder that has to be climbed if one wants to get this skill.
Poetry, music and handling kids are different skills and are of no help in climbing the ladder of intelligence. No, I agree that compassion and other skills can be as useful as intelligence, but they are different skills and have to be mastered separately.
Just my 2c.