That doesn't quite work because almost all the algorithms humans and ai use are learned as data. IE Bayesian reasoning, long form multiplication and division, even the scientific method.
How exactly does the fundamental difference between knowledge and intelligence "not work"? Humans have the ability to learn algorithms, therefore the algorithm being used by an AI (i.e. its intelligence) to apply knowledge from its data set "doesn't work"? I'm having difficulty following your thought process here.