A theocracy "by definition" involves God (or, more broadly, a religion). Constitutional monarchies do not, necessarily. Furthermore, at one end of the constit

A theocracy "by definition" involves God (or, more broadly, a religion). Constitutional monarchies do not, necessarily. Furthermore, at one end of the constitutional monarchy spectrum you have the monarch who is purely figurehead with only ceremonial and/or social responsibilities, and the monarchies with high scores in that list are fairly close to that end of the spectrum. (There are also some monarchies right down in the authoritarian end....)