Right. I remember there was a website where it would give you a footprint of how unique your signature is by looking at lots of available browser data, stuff like UA (which actually gives out a lot of data these days including OS & browser build version), encoding, language accepting. Even if you mask your IP, there is still a lot of data that stays consistent on your computer but has a lot of variation from computer to computer. Battery info is just another piece of the puzzle.
Anybody remember that website? I think it was posted at the old core some years back.