you seem to be making the claim that constitutional monarchies are very democratic because they always have impotent executives
That is not what I'm saying at all. I'm saying that, all else being equal, a constitutional monarchy with a democratic culture tends to be more stable and more democratic than a system with an elected president and a democratic culture. I have also made the point that this is far less important than many other factors.
Remember, this conversation got started when I replied to someone who implied that a monarchy is necessarily undemocratic. I am only asserting that that position is absurd, nothing more.