I thought as much re: GPS. there are quite a few people advising you turn it off to make your battery last longer in idle in various threads around the forums - evidently that is not going to do anything for you.

Disabling things which check location (if there are any widgets that do, or where something uploads your position to google or something) certainly would help. The camera also has a geotagging option to locate where your photos were taken - make sure that's off if you don't need or use it.