I don't think I get your point. A project will not be approved and funded if the local population does not believe it is safe, so safety must be demonstrated through a variety of means, including some you mentioned. This is directly tied to the high costs involved.
https://ifp.org/nuclear-power-plant-construction-costs:
> To sum up, since the early 1970s, the cost of constructing nuclear power plants in the U.S. has been steadily rising. This can be traced to a constantly shifting regulatory environment, which has continuously changed plant design requirements, and added more and more safety features, which often were required to be implemented on plants under construction. The regulatory environment is partially a reflection of the fact that nuclear power and the risks of radiation had become increasingly controversial, and that early understanding of the likelihood of a nuclear plant accident was often inadequate.
Nuclear in this millennium is not competing with nuclear or other tech from the 1970s - it’s competing with newer technologies (solar, wind, batteries and gas turbines) which do not require 5 to 10 year huge civil engineering works. All these alternative technologies benefit from mass production in factories. While civil engineering does not get cheaper over time - not just for nuclear plant but all large infrastructure construction.
And that’s just capex - even if a nuclear plant could be built for free, the cost of operation (huge head count, fuel and waste handling), means it cannot compete with newer technologies. Indian Point shutdown years before end-of-life because it was too expensive to operate.
Nuclear plants are large and complex and expensive to build and run. I’m not sure why it should be surprising that electricity generation technology has advanced sine the development of the PWR - it’s been more than half a century. The world has moved on from electricity generation using a huge steam engine attached to an alternator with a fiddly and complex firebox.
It’s economics and newer technologies that have made nuclear power obsolete - not public opinion.