I read your step and you are 100% correct. This helped me tremendously. Thanks!
If you buy a pair of cheap reading glasses (the strongest ones you can buy), it can help you see the small parts (especially the Airport antennae cables when plugging them back in).
I did not peel back the sticker. It is probably there to help unplug the battery. You can apply a gentle constant pull while you use spudger to lift the battery connector out of the socket as per the next step. It made this very easy.