Probably in this case the line employees are, on the most part, better informed than the management:
https://news.ycombinator.com/item?id=33067293And the fact, at LANL, that the safety team left en masse when the management wouldn't let them implement what they considered to be proper safety measures, suggests that the employees in question were in a good position to not only understand but also reject the risk.
In general, line workers are the ones whose incentives are best aligned with safety, since they're usually the ones who die (or, as you pointed out, suffer serious injuries). Sometimes they make bad decisions (as seems to have happened in this case) and sometimes they lack the information necessary — often, as you point out, because they're being lied to. Sometimes regulation helps improve that situation (it has been very useful in extorting MSDSes from material suppliers, for example) but I think much more often it results in the sort of time-wasting box-checking exercise referenced in the other comment, motivated by management ass-covering, not real safety improvements.
Usually, what improves workplace safety is decentralization of control (devolution of decision-making power down to line workers), freedom of information, high-quality coworkers, and an overall workplace culture that values safety and, as I said at the beginning of the thread, ceaselessly seeks ways to improve it. And if that makes me sound like a "sovereign citizen", so be it — even a stopped clock is right twice a day.
For the record, I've only experienced a significant workplace injury once, and the resulting disability was small enough I don't notice it most days, though the scar is obvious. I got fired for it.