That Bail would record such a thing, and not keep it on Alderaan seems kind of improbable at best. Honestly, putting such a message inside Artoo with instructions to not play it unless Bail died makes more sense.

And holy hell, did the senate just forget everything Leia did to destroy the Empire? Not to mention the price she paid? They’re just going to piss all over that for a hologram of dubious origin?

How would Bail even know Anakin was Vader unless Obi Wan and Yoda mentioned it? At the point of their last meeting in person, Anakin was presumed dead.