In my view, wisdom is just more situational than intelligence. The latter is about abstracting away a problem to its core so that the situation becomes tractable to reason about. With enough abstraction, it becomes easy to write down ten different solutions to a problem, which is then what you find online.
The next step in the process is to undo your abstractions to determine which of the previous solutions (if any) is the best one for your particular situation. It's not entirely identical, but I tend to think of intelligence and wisdom as deductive and inductive parts of the same process.
So I don't think that means that wisdom is so far removed from scientific enquiry that it becomes mystical, far from it: instead, it requires so much more rigour and discipline to codify wisdom into laws that it just doesn't happen that much; and even when it does happen, the most you'll find is fuzzy frameworks on how to deal with certain problems rather than the hard and accurate rules you can find in deductive analysis.
If that is how you conceive of "wisdom", sure, and I can see where you are coming from. It looks at limited notions of wholes (the whole of a chain of logical steps).
However, wholes are nested. The computer you are using to read these words, wherever you are, are part of a larger whole. Further, there is a paradox in which, while parts make up the whole, it's the whole that makes the parts.
Taking those all the way, "The" Whole in which all wholes are parts of, then, is boundless (no edge), and it is beginningless, (no causal origin).
My understanding of the scientific method is that it is ultimately limited in what it can find. It is not necessarily true that the scientific method is capable of explaining everything, though it is broadly applicable. That method is very good for analysis, but not synthesis, and focused on the origin in causal chains rather than the teleos.
The next step in the process is to undo your abstractions to determine which of the previous solutions (if any) is the best one for your particular situation. It's not entirely identical, but I tend to think of intelligence and wisdom as deductive and inductive parts of the same process.
So I don't think that means that wisdom is so far removed from scientific enquiry that it becomes mystical, far from it: instead, it requires so much more rigour and discipline to codify wisdom into laws that it just doesn't happen that much; and even when it does happen, the most you'll find is fuzzy frameworks on how to deal with certain problems rather than the hard and accurate rules you can find in deductive analysis.