Doctors would also be responsible for performing inquests into non-medical circumstances of a death, for which they are not trained and don't have any powers to gather evidence or take statements. I can't see that being popular with doctors.

Doctor would not be able to sign a death certificate until a Judge had completed an inquest into the non-medical circumstances. In which case the Judge would have to do so without the benefit of a medical certification as to the medical cause of death, which would have to remain open until the end of the inquest. In which case, I don't see how the inquest can reasonable be completed without a certification as to the medical facts, which is all a death certificate is.

Neither of those make any sense, so I'm sure those aren't what you are suggesting. How do you see this working?