Other sources include:
1. Coolermaster USNA-120 - 1A max port usually works but not when battery is at very low level, 2.1A max port doesn't usually work unless battery is nearly full.
2. 5V 1A USB chargers, one came with GoClever GPS, the other is HP.

All other devices are working perfectly with the chargers in question.

Also, I am sometimes swapping batteries fast enough so the date&time doesn't drop to default, may it be somehow connected with the issue? Batteries are different types but identical capacity (~1300mAh), one pretends to be genuine but is most likely fake, the other is Gold.