Wisdom seems like making good choices for long-term positive outcomes, where there are no rulebooks, lots of uncertainty, and the incentives thrown in your face to act in one direction are only a tiny fraction of the whole picture.
Intelligence seems like an aptitude to grasp concepts that lend itself to wielding a specific thing to a certain utilitarian end.
I'm sure others have said it better than me. But the folks I've met who are obviously intelligent seem to lack the ability to understand the consequences of their choices, and have already predetermined they're not only justified in their myopia, but somehow assume/ presume social support from everyone around them no matter how short-sighted their ideas are that come with obvious negative consequences if you look even one-step beyond their immediate outcomes.
Something like that. All to support your point.