Assuming we’re in a world where fact checking by the platform in some capacity makes sense then this then this feels like the right way to do it.
Another way would letting fact checking by an extension of the report feature where you can say, “woah this needs some context” and write a reply or link to your article discussing the issue. And the Twitter moderators just decide whether to show it in the privileged spot with attribution. Bonus if the moderators can highlight a person’s credentials if they happen to be an expert in the topic or directly related to the events.