Two Different Animals
Both pancakes/griddle cakes and waffles are normally made from quick batters, that is dry ingredients are mixed/sifted, then fat cut in and finally beaten eggs and milk are quickly folded into the mixture. This mixture is supposed to be left "lumpy" and not beaten smooth.
Cake batters can be made in a variety of manners but all call for smooth well mixed batters. Most start with creaming fat and sugar together in order to produce an light air filled base structure that will give a delicate equally light cake. Exceptions to this would obviously be angel food and other cakes where egg whites are used for the structure and so forth
Speaking for myself, and I am unanimous; there is nothing worse than "cakey" waffles or pancakes.
While griddle cakes should have a certain lightness about them, they ought not to resemble cup-cakes or some such. If one wanted cake for breakfast would make a pound cake or something.