I recently began having the same problem with Time Warner. I live in Saratoga, NY
I have a Pioneer-510h that I use with a Cisco Explorer 4642HDC cable box. My problem started around the time when Time Warner had its dispute with CBS and I lost Showtime. They gave me Starz instead which I could not copy the way I could Showtime. I thought it was just a Starz issue & thought nothing of it. But I also now had problems copying shows from regular networks like USA or AMC. It seemed to matter if it was on demand or scheduled programs whether or not it would burn to a disc, and later it didn't matter, I could no longer burn shows from USA or AMC at all.
Now I have Showtime back, and still can copy it's shows, still have Starz and can't, and can no longer copy the USA shows regardless if I copy them from on-demand or not.
I also have a TiVo with a Time Warner Cable Card and Time Warner tuning adapter. (Which I prefer to the time warner cable equipment.) I hooked up a Toshiba DVR to the TiVo and was able to copy the shows that way.
My parents live near Oneonta, NY and as of yet they do not have these issues but they have a Scientific Atlanta Explorer 4250HDC box they use with their Pioneer DVR-531h-s. They don't really use them much as now that they have a TiVo in their main room.
I just ordered the logic design video-filter in the hope that that solves the issue. If it does, I will probably order a second one for when my parents start to have the same problem, as I expect them to have, sooner or later. I will post how it works for me.
Incidentally, does anyone who has a Pioneer have any luck with re-writeable DVD's? If so, what works for you? A lot of these shows I record and send to my nephew in college, they are not anything that I am trying to preserve. Thanks for your help