Had the same with my parents, dad stated "I'm not living in a building site, you can re-wire when I'm gone." and that is what happened, with mother in an OAP home while it was re-wired. But that was well after my dad died. So in the meantime.
The problem, as I saw it, was we had carers etc, looking after mother, so the house was a work place for those carers. So with pre-1966 wiring there were no earths to lights, and some old rubber cables, new sockets would need RCD protection, and new cable would need to be of a type which did not need protection when buried in a wall, or run surface.
There was no way I was going to use mineral insulated cable, maybe Ali-tube was an option, but at the time, could only buy a whole reel, so it was trunking and surface cables.
Talked to social services, kitchen was re-wired using a mini CH by the front door, and SWA back to main Wylex fuse box. The doorbell and mobility scooter needed a supply, and an electrical firm was employed by social services, by this time the fuse box swapped for a consumer unit with some RCD protected circuits, so it could power the new wet room, but never got any paperwork for the work done, in spite of asking, and my RCD tester would not trip the RCD, so seemed likely not on the RCD side of the consumer unit, but since social services had fitted it, it was in my mind up to them.
So in the end, dad had died, and mother taken into hospital and was on discharge going to an OAP home for a few weeks, so I took the opportunity and found someone who was a scheme member and could be in and out in the week, it was hard work for me redecorating, but worth it, as latter carers found mother with dementia and poor eyesight, had found an extension lead with a flickering neon light, thought it was on fire, so put it in a bucket of water. No harm, the RCD tripped.
There is no way with a risk assessment I would have ever thought of that scenario.