@davew thank you have been screaming this at
The tv For years Now.

And frankly it would Make NEWS! (The first 30 times). There could be a count on the nightly news of the names of news orgs and journos who refused to continue.
And then it would save your org and all of us time and money.
I believe you dont do this because you want the next one
Getting called on in next presser
Getting answer to your next shouted question in the gaggle
Getting the next interview
Scoop
Job