Of course they will. When legal details becomes an obstacle for what the state wants, the details are brushed aside as unimportant with an appeal to "common sense". When those same details are an obstacle to what an individual wants, we're sorry, it's not our fault, that's just what the law requires and we must follow the law, even if we don't want to. And if you have a complaint, there's a process for that. It may take a great deal of effort on your part, and years of waiting, but again, that's just the process and there's nothing to be done.

Of course they will because they have a crime and there's someone in front of them to pin it on. Thats the hot potato approach that most legal systems rely on. The follow up is to determine whether the person they have is the right one. Even if they have to drag it out for years. Which in some cases they do.

They would be idiots not to. Otherwise, getting some crooked doctor or administrator to declare you dead would mean you could never be charged with a crime.