Now, time for the next "patient". Back to that dead PW3 battery (see photos earlier in
this thread):

In the photo above, you can see the spot-welded battery pads after the dead LiPo tabs were twisted/torn off. Some kind of speckly shiny plating that solder WILL NOT stick to. I tried.

But when the spot-weld pads got hot enough, they slipped right off the circuit board. Surface mount pre-welded? As you can see, there are four copper pads beneath each spot-weld pad.

And with the same LiPo from my K2 experiment, already fully charged. I made wire loops so I could solder them to each set of four pads. Umm... where did those melt spots come from on the black plastic? I do not recall getting my soldering iron anywhere near them. Gremlins...

And back into the dead PW2. No change in behavior though. Power LED off, except when a charger cable is attached. Pressing the power button 10 seconds gives four flashes (like before with the dead battery), the solid amber again.
My next step will be to move this "repaired" Paperwhite kindle battery module into a known-working kindle, and see how well it works, and detects on a reboot, and charges (after it is used awhile).