Indeed. At the time, Tandy was trying to break into the business market with its computer offerings, and the 2000's software library reflects that, including MultiMate, Basic Four, Lotus 1-2-3 and Symphony with hi-res graphic/charting add-ons, a version of Ashton-Tate's Framework, and the best desktop version of AutoCAD available at the time. The Mindset and Amiga lapped it in terms of video, audio, and in particular NTSC- and composite-compatible output capabilities, but machines that were targeting those workflows were doing something very different from the generic business market (which Windows, at the time, was aimed squarely at).
A composite compatible output addon, called the TV/Game Adapter, was planned but never released for the Tandy 2000; if released it might not have supported genlocking or really much beyond getting 16-color 320x200 or so video onto a TV. Until recently the only graphical game I recall actually being released for the machine was a special version of Flight Simulator; but recently on Facebook I saw a photo of a 2000 running some sort of video poker or other card game. It was unlikely to have been very fast paced and may even have been written in GW-BASIC; I don't know much about it.