I have had little experience on what is usual. I know when Dad died they took him from where he died and laid him on a bed, I was able to get a reliever and drive there from another town and then hours passed before an undertaker came and went through this check list of details. That might have been after more than 6 hours had passed. His body was in full rigor mortis by this stage and I remember it was a struggle to get him onto the wheeled stretcher. I don't know if that is unusual or not.
There are expected deaths; someone who had cancer or heart disease for example. They're simple; the family doctor decides they have died as expected and issues a death certificate. The family call the undertakers and that's it.
The there are unexpected deaths like my neighbour. He didn't appear one day so we raised the alarm. It turned out he was dead and the ambulance was called. They don't take dead bodies, so the police were next. They record these bodies, look at the scene in case of foul play and take statements. Then the undertaker comes; often some hours later. The Coroner decided that the death was from natural causes and issued the death certificate in due course. His own doctor wasn't called out at all, although he was probably spoken to about my neighbour's health.
In the scenario you are describing the above would apply, but the death clearly wouldn't be from natural causes, it would be accidental death or even manslaughter. Much more police investigation, possibly an autopsy and definitely a Coroner involved.
In New Zealand, by the way, you call the person's doctor for an expected death, 111 for anything else.
https://www.govt.nz/browse/family-and-whanau/death-and-bereavement/what-you-need-to-do-when-someone-dies/Hopefully you now realise that there are legal steps to be taken when a death occurs and failing to report a death, or interfering with a body is an offense. Interfering includes moving the body without the police seeing the scene.