Hi haven't tested but the first impression is clear: It's better than before.
I charged my Galaxy SIII and the SE at the same time, later, the Galaxy had to be recharged one time before it was necessary for the SE. The battery in the Galaxy is new, but the bluetooth was not deactivated. I read somewhere else that after I got the Galaxy, it exist new chip for Bluetooth and wifi that need much less energy and apparently the SE has this.
hope it help