The most important feature of the periodic table of elements is that it is based upon some underlying structure of the elements. It was initially used to make predictions about the existence of elements that had not been found at the time.
The "true" Periodic Table was truly a stroke of genius, equivalent in many ways in coming up with a scientific model/theory to describe nature.
The "periodic" part refers to the fact that some properties reappear as move from element to element, from the lightest to the heaviest: this is related to the filling of the atomic orbitals and their effect on chemical properties.
There is absolutely nothing of the kind in this so-called "periodic table" or its various cousins (I have seen some for "design" and other topics). There is no hidden structure revealed, no predictive power to be made if one were to actually leave one of the squares unfilled. It takes a wonderful communication/organisation scientific tool, keeping only a superficial visual element and leaving all essential meaning behind.