Interesting that the LED flashes on your phone, it doesn't on mine when it's powered on. It might be meaningless. My next test will be to put in a dead battery and leave it plugged in overnight, maybe some magic will happen.

The resistance is 100kOhm, on both my "dead" batteries. It's 120kOhm on my BP-4L batteries for the N810, and 47kOhm for BL-5CA.