Black Twitter is similar to Gambling Twitter. There is no actual "black twitter" or "gambling twitter", just the same circle of people who comment on topics/controversies that are of in that circle of people.
And I don't really see where it's a demotion, maybe just a line being drawn by the Times. It seems everytime I watch the ESPN pre-NBA show it's always Beadle/Jalen/Chauncey anyways.
I'm don't recall hearing any of her comments previously, which don't seem over the top at all, but it's a simple marketing decision. NBA viewing demographics, I think it's safe to say, is liberal leaning. So remove the "public conservative" from the eye of the "liberal viewers" and put her on the Masters, College Football Championship and World Series coverage. Doesn't seem like a demotion, just a change, and a solid business/marketing decision.