You would need to re run guided setup for it to work on that "other" cable, as well as remove the cable cards, if you haven't yet. The same goes when you move back home, and have the cards re-paired.
Original S1 (Recycle Heaven)
Series 2 (PLS, sold)
TiVo HD (XL, PLS, "652")
Juliet Basic (4XL, PLS)
The TiVo Apocalypse begins on Sat 2013 Feb 16 00:00 GMT!