I am too lazy to read whole discussion.
What is you ac analysis setup and gain expression measurement?
For me it looks like "invalid user" case (in testbench not circuit)
What is in parenthesis?
Provide exact expression, please.
Some useful hints for future:
1. Common practice is to use unit input (ac=1), to not worrying about division.
2. For SE to diff conversion (and vice versa) is good to use ideal_balun element.