please re-read what Greg already mentioned..
Remember in Improved touring if it does not specifically say you can, then you cannot.
In recap.. It says door bars are mandatory between front and main hoop.. Nothing to do with the rear of the car.
So this is not an allowance for rear bars.
"Door side tubes may extend into the front door."
This specifically allows the bars to extend into the front door. Not the rear.
In Improved Touring, Spec Miata, and Touring the door window glass, window operating mechanism, inner door trim panel, armrest, map pockets, wiring harnesses for door locks, windows, power mirrors, seat wiring, etc., and inside door latch/lock operating mechanism may be removed and the inner door structural panel may be modified, but not removed only if the door bars extend into the door cavity."
Therefore, one can remove/modify all those parts only if the doors bars extend into the door cavity. However, if one is only allowed to extend the tubes into the front door, then it follows you cannot remove those items from the rear door.
To recap per the GCR. Cutting the door structure is allowed provided the cage protrudes into them. It specifically states that the cage is allowed to protrude into the front doors. Nothing allows for cutting the inner door structure of the rear door.