Nutrition is not the only derterminant of height.

Certainly; nor is it the only determinant of intelligence. "Highly dependent" != "solely dependent". But someone who wanted to maximize the chance of interacting intelligent and successful people would do well to pay attention to height, for multiple reasons - not the least of which is that everyone ELSE who wants to maximize the chance of interacting with intelligent and successful people tends to pay attention to height (even if they themselves are not tall).

Also, note that your "name X highly intelligent people who were not at optimal height" strategy is primarily anecdotal, and also that 6'2" to 6'4" is the optimal height for maximizing your height-based status gain, not the baseline height.