Another potential reason. Plausible debiability in a lawsuit for slander or liable from one of those organizations. No point in wirking for Fox if they require you to knowingly lie and demonize those organizations on air. Don't forget, Fucker Carlson got named in some of those Dominion lawsuits too. Making contributions to organizations you malign on air may help protect you if you and Fox get sued fornthe lies.
Don't know if it would actually work on a suit, but it may help manipulate willingness for employees to lie on air too.