I haven't checked previous 2.2.0 Publisher betas but the latest Publisher Beta 2.2.0 (1971) is having problems displaying Character Styles in Running Headers if that text also happens to be a Paragraph Style with a Drop Cap enabled. There may be other reasons for that of course.
I haven't checked it extensively but the below video shows the problem. I'm switching here between 2.1.1 and the latest beta 2.2.0 (1971).
header.mov
I'm also attaching the doc below.
Bible-refs-2.afpub