Were you looking at production costs instead of levelized costs? That page notes "A new nuclear power plant, for example, has one of the highest levelized costs, particularly compared to coal and natural gas-fired plants, and its costs are exceeded only by certain renewable plants, such as offshore wind and solar power, according to the Energy Information Administration (EIA)."
Another issue is that the page is from 2012 and its numbers for renewables, solar PV in particular, overestimated costs for 2017. Solar PV costs declined much faster than the EIA estimated.
However, I do not have good enough background to vet the source well. Are they missing something obvious?
Also, I was not talking about worker safety, rater about everyone's health, from the miner to the person living near the power plant.