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Did I miss it, or do the authors not bother to explain how the original methodology is wrong? Do we just take their word for it?

Cancer risk associations studies are not normally described as "proving" anything. The article being criticized uses 'risk' and 'association'. There is a long history of argument around these sorts of studies, there was a previous series of these around people living near power plants (where it seems like SES, not plant proximity, was the strongest explanatory variable, see https://www.aps.org/archives/publications/apsnews/200710/ele... ). I've seen similar "living near a freeway causes cancer" arguments. There was a massive court case by flight attendants, who have a higher rate of cancer than the regular population.

In reading the criticism, I noticed the authors keep using the term "prove" and they also keep trying to come up with mechanisms ("refueling of the plant"). Even the argument about plant worker exposure compared to people living far away doesn't completely work, because the plant workers are taking all sorts of precautions to minimize exposure to radiation, but there are still mechanisms where something could go out the cooling stacks and deliver something harmful downwind.

The biophysics of cancer causation is entirely nontrivial and looking for the actual sources of the cancer risk is challenging, and watching physics people argue with epidemiologists gets old quickly (my field is biophysics, and I've had a few physics people insist that non-ionizing radiation couldn't possibly cause cancer, "because it doesn't damage DNA". Unfortunately, that argument isn't good, because it presupposes a mechanism (DNA damage due to radiation); we know now that non-ionizing radiation causes cellular heating, stress response, and more, which are all associated (based mostly on in vitro studies) with increased rate of cancer.

Note the authors (and the institute they work for) have vested interest: Dr. Adam Stein is the Director of the Nuclear Energy Innovation program at the Breakthrough Institute, where his work centers on the technology, regulation, economics, and risk governance of advanced nuclear energy.

Deric Tilson is a Senior Nuclear Energy Innovation Analyst at The Breakthrough Institute, where he focuses on advancing nuclear energy as a critical pathway to a carbon-free and energy-abundant future.

I like this article: Does X cause Y? An in-depth evidence review (https://www.cold-takes.com/does-x-cause-y-an-in-depth-eviden...)

"Over the last several months, we have replicated the results of these papers. The authors supplied us with eight lines of code and answered a couple of questions about the covariates, which did not replicate the results. Most of our replication was done through first principles combined with trial and error. Once we were reasonably close to the results of the first national study on cancer mortality, we took the methodology and applied it to numerous other landmarks."

Author implies that Alwadi et al. was not forthcoming with sharing the data underlying their studies. Because otherwise they should be able to exactly replicate their results. "Reasonably close" does not cut it.

I love seeing quacks get shredded by articles like this.

There was a time when encountering truly naked propaganda was something of a rarity. Clearly those days are behind us.