Not the most captivating title, but anyways...
Is there any attempt to conceptualize model A such as....
The LII has the Super-Ego of a ESI's Ego
The LII has the Super-Id of a ESE's Ego
The LII has the Id of a LIE's Ego
Hopefully you get the point, I am not even sure I did the correct functional placements for the LII, but I think this approach can lead to valuable insight.