Update: got the 10440 batts from DX. These are Ultrafire "500 mAh" (quotes are there because it is very likely less than this, according to the DX website). Also got a two-batt charger.
I had 5 PTs that had stopped working. With new batts,
three are working again, but it seems like at least one of those is not charging off USB properly. One other PT is cold and dead with the new batt, and one is intermittent. I suspect the other two working PTs also have charging issues, and this was the original problem with them. The batts just eventually drained. One of the original stock batts that came with the PT has recharged to 4.2V in the charger.
So while I would like the PTs to charge their batts, this is a workable scenario for the time being. I am guessing that the wiring into the batt box, and also wiring out of it, is shotty and prone to disconnection. If it is on the USB-box end, then a charged batt will still power the atty. If it is at the box-to-atty end, then the PT does not fire up. The batts last considerably longer than the 510 mega batts, so I am somewhat ahead of the previous game with PTs that didn't work at all, but I may do a little exploratory surgery to see how the wiring is inside...looks like there is a phillips head screw holding the box together.
The charger works very well, bringing all batts I've charged to 4.2V, when the red light turns to green. They are unprotected batts, so I probably need to pay attention and remove them when they are charged.
The Bart continues to look tempting, but not a critical purchase just yet.