My tivo also ran out of data
My tivo was set up against port 80 and it also ran out of data last week. Mine was connected via my network and had been running well for over a year, but last week it would connect, set the time but no data seemed to be imported. Forcing a manual phone call didn't help the guide data situation.
The tivo was set up against the Saturn analogue cable service (it was actually a free to air tivo, with most of the channels switched off, with an external VCR).
Unfortunately, I can't give any logs as I decided to re-image the tivo with the latest image last night to get around the problem (I now have a new problem with the guide data having duplicates, but I'll go over that in another post).