In my 325i I moved the mentally heavy battery from the boot to behind drivers seat mounted in a fibreglass battery box.
Easily done as cable comes from the front of the car anyway !
I am adamant it made a difference to the way the car drifted, obviously 10kg directly off the axle.
I had all my stock glass on my coupe with battery moved etc and that was pretty lightweight on the rear axle.
Is there any benefit from cutting out the boot floor??
As far as weight saving not really, IMO not much weight in it.
I cut mine out so I can remove the diff without dropping the subframe. Without the spare wheel well, you can slide the diff straight back out.