Surely that image is from the FDR Memorial? Nothing to do with Hoover.
As head of state, the President represents the nation to the world, and to itself. Policies are all very well, but the person holding the office must strive to embody the values that made America so respected, and not only know their Constitution but strive to defend it in every way.
I wouldn’t leave out of that list somebody so wildly out of touch that they think they are a better president than Abraham Lincoln, and who never even read the constitution he was sworn to defend.
So, where is Ulysses S Grant?