However! I believe that the main benefit of central nuclear plants, is there ability to keep poisonous materials in a single location, so that it doesn't get lost.
For example, the radioactive sources used in radiotherapy units, have been known to go missing due to negligent owners, with truly awful effects to those that discover them without realizing that they are. This short video sums it up pretty well:
- The Samut Prakan Radiation Accident https://www.youtube.com/watch?v=hxktLtVEH7U - The Goiania Incident https://www.youtube.com/watch?v=nhL0xQzPSy8
Once the radioactive material is released from a safe container, the cleanup effort to discover and contain it is immense.
And herein lies the problem, it only takes one or two events like this to cause an extreme amount of damage. And its not a problem with the technology, its a problem with human beings. We're forgetful, lazy, and make mistakes. So widespread deployment of many radioactive sources really increases the complexity and cost of keeping track of them.