You’re touching on some important points re: cognition.
I think that wisdom has knowledge as a component, as “knowledge” of the sort that is THE TRUTH (i.e. universal, necessary and certain) gives the wisdom component something real to work with.
Knowledge is awareness of what is true. Wisdom is what to do about it. Understanding is usually unattainable because it answers the questions about “why” things are the way they are. (IMHO)
Intelligence alone isn’t worth much if it has only lies to work with.
I was about to suggest that. I would also add that an important part of wisdom is experience. A person can only be truly wise if they have seen the only components of wisdom played out in the real world before their eyes and have experienced it firsthand.