so if I understand correctly, we are talking about two different aspects: CMRR and "inherent" circuit noise:
CMRR is improved using precision resistors or ICs like THAT 1240. If you also want high CMRR when there could be impedance mismatch between driver and receiver, than THAT "InGenious" solution is even better.
The impedance difference relevant to the CMRR is that between the input legs. Difference here reduces the CMRR.
The higher the Common Mode input impedance the less effect any difference has. A transformer input offers very high common mode input impedance. The Ingenius and other similar topologies seek to replicate this impedance via a form of "bootstrapping".
Aside from CMRR, the circuit proposed by Mackie or by Self that I linked on post #1 are inherently noisier than the "double inverted" configuration, when adjustable gain is needed.
Without running the numbers I read the Self Circuit as being quieter than the Mackie.
Resistor values can be adjusted to change the noise but that can lead to issues with current demand (limits and heat dissipation) and input impedances.