It's not just about access to information, but actual power and perceived power; the chances that the average rational person will be fooled and react to "The U.S. Treasury has been ordered to fast-track the evaluation and adoption of Bitcoin as an option for official government transactions" is much higher coming from Trump, Pence, Mnuchin, McConnell, or any number of the official social media accounts of U.S. agencies than it is for Obama or Biden. Sure, the latter could most definitely fool people, but that's possible with any famous account, like Elon Musk's or Kanye's.