Producers should have zero input on this. “I put money into this film. I insist on being allowed to play with every firearm on set” is patently stupid.
Their responsibilities begin and end with ensuring that people have been hired to be responsible for that. They did. Those people were (in my opinion) criminally negligent. But (if memory serves) the AD almost immediately turned and begged for a deal and the armorer makes the average gravy seal look intelligent. Which, like most of these tragic and pointless deaths, speaks more toward industry wide accreditation and vetting processes.
Because, again, just because someone has money doesn’t mean they understand gun safety. And the last thing we want is someone who played Call of Duty while getting a blowie last night insisting they know better.