Going back to a post much earlier in the thread, the recessive chin has everything and nothing to do with monarchy ... the Hapsburgs, in particular.
Neolitic man developed a heavy jawbone in order to chew tough meat.
As the human race progesses, and we have vegetarians, and soup-sippers, and people who no longer eat fat or gristle, the average chin gets smaller with every successive generation.
The very reason monarchy has been perceived to have had weak jaws/chins, is because they were eating catered food that didn't require much 'jawing.'
If modern man sticks to current diets of blended, soft foods, we shall all be chinless wonders within a couple of hundred years!