So, the issue with chlorinated chicken washing is not that the chlorine is unsafe, as such. There are two concerns. The first is cross-contamination. The second is that there is some evidence that it is essentially a cheat; it defeats common tests for salmonella but does not actually reliably destroy the salmonella. So, if you allow chlorine washing, then you can pass the tests while not fixing supply chain problems.
Reference on most American chicken now being washed with _vinegar_? As far as I know that’s fairly uncontroversial ineffective.