More battery means more weight, and no one wants these to be heavier.

False. That is a false statement. You said that "no one" wants these to be heavier, when in fact, many people would gladly accept a few nanograms of extra weight for a better battery. Look at everyone with a Clutch or Anker attached to their phone.

Then just remove the camera in return for nothing. Less weight and a slimmer form!