Actually, I think this is a much better explanation:
https://www.americanthinker.com/articles/2019/10/fox_news_is_joining_the_fake_news_pollsters.html
I agree with you.
You are right. But I wasn’t addressing that issue.
Fox has policies.
Producers follow policies
That’s why they pulled it.
You have a valid argument about Fox policies shifting left. I see that. I am watching less and less Fox News because of it. Most posters, like yourself, object to the policy that led to the decision. That’s fair. But the policy is what it is and the producers just did what they are paid to do.
Personally if the Trump Team had edited out the profanity and doubled up on the violence I would be upset myself when it was pulled. For me it was the profanity that did it in. Personally I think Fox should stick to their guns when it comes to profanity. It’s tiresome and unprofessional.
On the violence I agree with everyone here. It should be pounded daily on Fox. I don’t expect it will be for the reasons you gave.