I don't see why what you want to do would not work. If you have VCDS then you can just change the coding on the '11 or '12 model TCM to work with your '13. and the replacement TCM will be just like your '13 TCM.
I know that the coding preset in the TCM doesn't matter for a fact. I have a 2006 V10. I had the transmission rebuilt due to a issue that made me think that the torque converter was going bad and starting to cause surging issues (not the problem). Well the shop didn't tell me that they recoded the TCM, they didn't even code the TCM to a VW or Audi (I'm still not sure what code it was, because I've never seen that as an option). The transmission worked, granny shifts, holding a shift, lag and all.
So as long as the TCM is talking to the ECM and rest of the system it will work. I know this personally.
Since I have a 2011 parked I might as well give it a try! Just want to confirm, do you think if I switch the 2011 TCM with the 2016 TCM, would I have to do any re-coding?
Coding for my 2011 and 2016 are as follows:
2011:
Address 02: Auto Trans (J217) Labels: 0C8-927-750.clb
Part No SW: 0C8 927 750 G HW: 0C8 927 750 G
Component: AL1000 AISIN 001 1812
Serial number:
Coding: 001168
Shop #: WSC 37478 002 1048576
ASAM Dataset: EV_TCMAL991031 001001
ROD: EV_TCMAL991031.rod
VCID: 3069669B6BA1819E243-8065
2016:
Address 02: Auto Trans (J217) Labels: None
Part No SW: 0C8 927 755 R HW: 0C8 927 755
Component: AL1000 AISIN 130 3374
Coding: 010500000C008400000000000000000000000000
Shop #: WSC 31414 790 00001
ASAM Dataset: EV_TCMAL991031 003118
ROD: EV_TCMAL991031.rod
VCID: 4089365BDB01111ED43-8015