Official comment
From what you're saying, this is exactly as it should function.
When in HID mode with a CDJ-2000, the lower portion of the display will show the time, pitch, BPM, overview waveform, memory cue points, and play position. The upper portion will show different information depending on the mode:
BROWSE: The current selection of tracks within rekordbox are displayed here; this is a SHARED view no matter which CDJ you are using to browse.
TAG LIST: Shows the tracks tagged on a device connected to the player (NOT rekordbox tagged tracks).
INFO: The details of the track currently loaded to that deck are shown.
MENU: Has no function.