It may be that 3rd party batteries are not actually that good as original Sony ones, but I'm not sure about that one.
Concerning Map This!, by default it runs at 333 MHz, and this indeed drains the battery rather quickly.
You can set STARTUPFREQUENCY in config.txt to 111. That makes Map This! slower, but your battery will last longer. There is a bug though, when you go to GPS info screen and back to the map, it always switches to 333 MHz.
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