You don't show any output on the battery connectors themselves, right?
Most battery smart chips are connected directly to the cells, but in the case of a Lenovo battery there's another chip in there that actually shuts it down if the smart chip detects a problem. And it could have been a one time problem. Overheating, a cell voltage fluctuation. I've never traced out one of those battery boards, I always just reset the eeprom and hoped it worked. 1 out of 3 doesn't work. Usually when you get rid of the flag that shut it down in the first place, it'll work. If you have a good eeprom reader and writer, you should be able to read the code that shut it down. My board's pretty basic, can't read codes, it just resets everything to its defaults.
And yes, one of those tpc chips could be the problem, although if one of those was bad, you still should get at least some kind of reading on the battery connectors.http://www.summet.com/blog/2007/02/17/l ... ry-refill/
This might give you a little more information. There's a fuse in there along with a thermocouple.