Unfortunately. I wish the marketers would actually compare the technologies and get the names right. </rant>
*ahem*
In the land Down Under, boxes that tune into digital television for viewing on analogue TVs are called 'set-top boxes'. This, I believe, is the term our government used. Add a HDD it becomes a PVR - personal video recorder. PVR is also the term if it has an analogue tuner. They're very hard to find, but if you find a digital tuner box with a DVD burner instead, it's a DVD Recorder.
(DVD Recorders with analogue tuners are widespread, I might add, which shows the manufacturers don't believe the analogue turn off is going to happen. Retailers are getting tired of consumers asking why they don't have digital tuners... )
MythTV and it's MS variant are usually called PVRs, whether they have digital tuners or analogue tuners.
Wade.