Rectang explained it very well, and all their points stand imo.
When I was a student I met a Chernobyl liquidator in his 30s on a local train. He said he was dying of leukaemia and looked like it. As a thought experiment, how would you argue to him that his death is unrelated?
Western part of USSR had also an explosion of thyroid cancers and tumors among children. Fortunately it was very treatabe. Because it was screened as a known consequence of the fallout my brother in law had an intervention early.