Is it the original T-962? Have you done any improvements, like the Unified Engineering firmware, temp reference, and grounding?
Those TC's are relatively fine wire. If they were open, and that was the only problem, I would not expect your results. However, if you have not fixed the ground issue, you may just be picking up noise. That is the first thing I would check. If you suspect an open TC, then remove it and clean and re-weld/braze. I suspect an open TC and poor ground might also give funny results, but I have no experience to base that on.
I did all the usual modes on mine, including the new firmware, and have seen no similar problems.