One of the bigger problems with nuclear is the complete collapse of investment and the industry in the past 30 years. Rectors have a design life. Society learns, develops, improves. Industries are built to support other industries.
Here we are now with proposals not to build new reactors, but rather to restart ones that are well and truly end of life. Reliability bathtub curves are a thing, and end of life reliability rapidly drops. Add to that nuclear reactors are virtually impossible to bring to an as new state due to irradiation of the system's materials, eventually the reactors need to be shutdown and replaced. We used to do that. We don't do that anymore. As such the rate of 3 incidents across 400 reactors throughout the past century in the USA is not a rate that can be used looking forward. We should have been building reactors in the 90s, not talking about restarting reactors now from the 70s. The same argument was in place for Germany recently. The question should never have been whether they should shut down nuclear reactors, all but about 5 of them were already beyond their design life and should have been shut down already anyway had the industry followed their own healthy and functioning cadence.
As for the industry part of my comment, when we don't build something, the services required to build them disband. This doesn't just magically get stood up when we want to build something again. Nuclear engineering has been a dead degree for a while, expertise is hard to come by, EPCMs who are capable of building a nuclear power plant are hard to come by (and that's one of the reasons why every project seems to suffer such catastrophic cost/time overruns). I'm reminded of the discussions in Australia a few years ago. During the election the Liberals had a plan to build 8 nuclear power stations in Australia. Leave aside the NIMBYs, and the banks, and the legal hurdles, one of the most outspoken critics of the plan was ... the nuclear industry in Australia, who barely has the resources to keep OPAL running. They said we need a decade of education, before we can start talking about designing and building new reactors to say nothing of the fact that the largest contractors all said they don't have the resources for the plan.