I think that good teachers embody both. Part of it is the what , and the other part is the who . And it's important. He's brain-dead now. But knowledge is, or should be, testable, in whatever the subject happens to be.
Wisdom is much slipperier stuff.
It has more to do with how we live , than what we know . It has to do with discernment , and interpretation , and recognition of what is going on in the moment. It is, or it ought to be, the companion of learning, the fruit of any decent program of education. Our goal should be to be both learned and wise. The two are meant to be kept together.