Hi Mono,
I just had a look at my traing manuals and then the AMM, and guess what, we are both right.
On the CFM powered A/C WITHOUT SB 320/78-12b incorborated it is true that on side LGCIU failure will cause onside Reverser to be locked out, post mod, the command LGCIU will give the GND logic to both EIU's.
You are right about the actuation logic, it has been a while since I was working with that sys in depht and was going by my teflon memory(nothing sticks)
Brgds
Doc