This ended up being wishful thinking by the liberal media. Looking at recent nightly broadcasts of Special Report, Brett Baier was on the news Wednesday (Feb 6th) and Thursday(Feb 7th) last week, and was visibly hurting from a bad cold, and other on the panel and Baier commented about it. He was not on Friday (Feb 8th), John Roberts anchored for him. Likely he was off to recover from illness, and not disciplinary action. And has been back Monday and every day this week.
The link to the page I posted above no longer works. Like so many liberal fails, they didn't admit that it was false, they just quietly deleted it and pretended the allegation never happened.