Just because you're the face of a certain news program (or any TV show for that matter) that doesn't mean leaving from a "toxic environment" will immediately give you better options and not face something similar elsewhere.
In Scott's case, I assume, it's 60 Minutes.
Would you rather stay for that show, doing what you love, getting paid handsomely for it and be a face of the most prestigious American news program ever made (which also has its own staff, btw), or deflect to another network doing the same reports under the eyes of people watching to see it all possibly fall but realize it's not the same, or even sit on your butt doing essentially nothing for more or less the same paycheck?
And in many other cases, other TV personalities who went through the same thing don't have many a choice of leaving for other networks or leaving the business entirely, so they deal with it until they finally had enough.