Correct, it's not a truly balanced design, like the earlier Xa7ES was. Hence the reason both sound the same (Bal. vs. unbal.) is that they are the same, derived via a chip (IC) that creates the inverted signal for the balanced connector.
There are a multitude of benefits, other than noise rejection, for components with a truly balanced signal path. Several companies design with this in mind, BAT being one of them.
FWIW,
-Ed