Is the parking brake module interchangeable between RRS L320, LR3, LR4 and L322 full size RR?

I'm getting C1A00-4B control module system internal failure - over temperature error. Removed the module and ran the motor manually (connecting 12V). Motor works fine and pulls/pushes the cables but draws too much current (over 30AMPS) and trips the fuse on 12V testing unit (after 2-3 sec). I don't know if the problem is the transmission unit or the motor itself.

So want to buy a used module as new is around $900+. There are some good used ones available from L322 and just wondering if it's the same unit as L320.

Thanks.

Update. Since motor was drawing too much power, took the module apart, removed the motor from transmission unit, opened one side of the motor and found it all gunked up with black stuff. Cleaned the motor with brake cleaning fluid, put it back together, tested and put it back in the module. Tested motor with transmission and cables attached and now it works great. It only draws 10 Amps as oppose to over 30 Amps before the cleanup. Going to put the module back in the car and adjust the brake shoes. Hopefully it'll all work fine.