'grey news' not a bad idea but can still be manipulated by editorial.
Org A is the one you want to promote. Only show clips that make org A look good. Org B is the one you want to demote. Only show clips that make org B look bad. If org A does something bad pad it with 'org B' doing the same thing or never show it. If org B does something good never show it.
What is shown to you, and order matters. The talking heads bits most orgs go for along with it just adds color to it. But it is the same editorial process. You only have X amount of time and Y amount to show X < Y. Something has to go. You can pick sides even with that method.
I've also thought of a structure where there's a news organization that's just openly biased, the prime directive is listed on the front page, and each news article is explicitly edited to explain how the article is presented to support the main mission of the organization. Maybe could link to refutations to keep the appearance of honesty.
This of course falls into a funny counterfactual scenario that I don't have a clever term for. "In the world where this solution is possible to deploy, the problem doesn't exist". If you could staff an entire news organization that was so dedicated to exposing its own bias, it would mean you had a critical mass of adults in society that were actually concerned about the truth, and you could just do news the regular way.
Org A is the one you want to promote. Only show clips that make org A look good. Org B is the one you want to demote. Only show clips that make org B look bad. If org A does something bad pad it with 'org B' doing the same thing or never show it. If org B does something good never show it.
What is shown to you, and order matters. The talking heads bits most orgs go for along with it just adds color to it. But it is the same editorial process. You only have X amount of time and Y amount to show X < Y. Something has to go. You can pick sides even with that method.