I was speaking of Tivo remotes.
The direcTV units with Tivo are no more Tivos than the motorola boxes with tivo software will be Tivos.
I purchased my first two DirecTiVo's at Circuit City and signed up and paid for for Lifetime Service with TiVo, Inc.
I later helped "user beta test" the activation of the second tuner in these DirecTiVo boxes (mine happened to be Sony SAT-T60 units).
I worked with TiVo, Inc., support folks to resolve a problem with my lifetime service.
Later, DirecTV and TiVo agreed to have DirecTV handle all customer-facing activation, billing and support for DirecTiVo units.
BTW, every TiVo remote in my house has a List button, including Sony remotes and TiVo Peanut remotes.
IMHO, the DirecTiVo unit offered many advantages over a stand-alone TiVo, such as dual tuners with simultaneous direct-digital recording, including Dolby Digital 5.1 audio when provided on the DirecTV channel being recorded.