They could release transcripts, which would be far less theatrical than video and audio. Sure, transcripts may contain some grandstanding, but it's not as spicy as a 20 second tweeted clip.
The Supreme Court disallows cameras, but release audio, so those who wish to follow the court can still do so.
I think the point of those questions is just to establish a baseline of truth in congressional testimony, it's not really "stunt" related. It would become a stunt in retrospect if it were found ACB lied to Congress, which is a crime. Get as many factual comments on record as you can, and then you have a bigger quiver later.