Distributed power means having 2-3 orders of magnitude more power sources than with centralized systems. That increases the likelihood of an accident by the same factor.
In the US, we have already had near-disaster level nuclear accidents with about 100 total plants. Let's be generous and say that only one was really bad, TMI. That's a 1% failure rate where "failure" means the potential for disaster-level accident. If you want to remind yourself of what disaster-level accidents look like, recall what happened in Ukraine at the Chernobyl power plant, which was caused by human error. And recall that TMI was also caused by human error.
With 2-3 orders of magnitude more nuclear plants at 1% failure rate, that means 100-1000 nuclear disasters in the US, unless, somehow, we are able to engineer plants that are 2-3 orders of magnitude safer, and can find operators that make 2-3 orders of magnitude fewer bone-headed mistakes. As an engineer, albeit a non-nuclear one, I find that a daunting challenge. Yes, we as a society are capable of manufacturing at six and seven nines, but that's when we have lots and lots and lots of practice making things. Right now, nuclear plants only have two nines, with most of the relevant design and construction experience aged out. There aren't enough power plants to be made to develop that expertise, and we'll have plenty of disasters along the way as we learn, where disasters have centuries-long consequences.
So distributed nuclear power? No. Frelling. Thank. You.