There's a reason newspapers would separate out advertising and editorial content and identify them as such.
The counter argument typically is "but what if no one sees the countervailing message?!?" Shouldn't such a verdict be affixed to the message as a visual mark of sin or righteousness?
Counter ideas with ideas, not imprimaturs.
That said, I'd love to have a "No Tweet" litmus test for Presidential candidates. "I promise, when I'm President, that I will never personally tweet from my own account."
Looking at the arguments in the multiple posts of this topic / concept we have people saying President Trump’s statement is false and true. It depends on the perspective, a significant amount of which is tribal based. You can get a great example of how a person’s thoughts change depending on who says it if you watch any of the YouTube videos of people asking opinions on a quote; when it was revealed to be someone from their tribe, BOOM!, perspective change.
Fact checking could be accomplished by a three person team that has items presented to them without context. But, we would need them to be isolated from society to ensure their purity in a subject matter.