People are most afraid of nuclear energy by two reasons: accidents and wars.
The first has nothing to do with capitalism, we can only trust on workers and expect things to go ok.
The second is more a fear mongering by the global north/rich people who want to make everyone worried when a global south country starts to invest in nuclear science and related things. In other words: capitalism influence.
Hell I'd say your double right, accidents are definitely influenced by the system that precipitates them. Redundant safety features, emergency protocol training, protective gear, preventative maintainance...under our current system, all of these things cost money, and since profit is the primary motive, they will be the first things to be slashed when say, the price of energy goes up and they decide to maintain profits by cutting overhead.
Half the episodes on Well There’s Your Problem are "this vital part was removed or left unmaintained for legal or financial reasons until it caused an explosive train derailment."