Precisely.I hear you. What I find strange is that the argument seems to become about the moral fibre or lack thereof, of the Saxe-Coburg family, which I think misses the point: if you find that the elected or appointed head of state is racist, then even if they refuse to resign, they can be removed from office, or in some cases will leave when their term comes to an end. Then they can be replaced with someone completely different.
With a hereditary monarchy, not only is this not possible, you can't even hope things will change when the next in line inherits the job, because the institution is so big and unwieldy it can't really reform.
As I said originally "An institution above democratic control or proper scrutiny"