I would agree with this and amplify this point by noting that in the US at least, many of the most dangerous occupations, such as warehousing and meat-packing, are done under conditions where employers have every incentive to falsify the records of workplace safety incidents and the largely undocumented immigrant workforces have little recourse. So I would submit that we do not really know the true state of workplace safety in the US.
Yep, and friendly reminder that the US Supreme Court recently ruled that this is fine btw.