For the sake of discussion, let's assume that the whole thing is a right-wing propaganda piece. Isn't the result the same? The fear is real regardless of whether it's proper or baseless.
If you want to ensure that academics don't self-censor out of fear of reprasials, you could prove to potential authors that their fears are baseless, or you could provide mitigations for their fears. Or, you could do both.
I would've thought it's self-evident that if the problem isn't real then you're never going to fix it. If the reason this problem exists is a political tool for the right wing then the way to stop it won't be to pander to it.
If you want to ensure that academics don't self-censor out of fear of reprasials, you could prove to potential authors that their fears are baseless, or you could provide mitigations for their fears. Or, you could do both.