There are many types of safety. For example, protecting your profits! I'd imagine that if we trace the money back these organisations will look a lot like lobbyists for existing companies in the AI space. I recall Microsoft's licence enforcement effort was done with that sort of scheme, I think they used the BSA [0]. It has been a while though so maybe it was a different group.
Anyway, point being, if they can lobby for something unpopular under a different brand, that is how to do it. Much less PR risk.
The vast majority of "ai safety" news I see is about some dumb shit someone is getting called out for supporting and the responses are always "ai safety is such a joke since they focus on these issues instead of real issues".
Who does this benefit to have the "popular ai safety" news/people be ridiculous? It's not furthering the issues people seem to care about, but it does give a bunch of ammunition for Microsoft/openai/etc. fans to use to shutdown any discussion of AI safety issues.
Anyway, point being, if they can lobby for something unpopular under a different brand, that is how to do it. Much less PR risk.
[0] https://en.wikipedia.org/wiki/Software_Alliance