If the circuit topology of your components are not fully differentially balanced from input to output then there is zero sonic benefit of using balanced ICs.
While this belief is held by many audiophiles, and I believe it is true in the majority of cases, I would not consider it to be a hard and fast rule. It is certainly possible, IMO, that a balanced connection between components having unbalanced internal signal paths (i.e., components that are not "fully balanced") may sound better than an unbalanced interconnection in some or many cases.
Why? There are a number of potential reasons, depending on the designs of the specific components being connected as well as on the cable that is being used:
1) When the interconnection is changed from RCA to XLR or vice-versa the configuration of the interface circuits that are being used in the two interconnected components is being changed;
2) Susceptibility to ground loop effects is being changed. Ground loop effects can cause a multitude of subtle sonic effects, not just hum. And those effects will tend to have little if any predictability, as they depend on factors that are usually unknown, such as the internal grounding configurations of the two components, and on whether each component connects the shields of the cables to circuit ground or to chassis, and on how circuit ground and chassis are interconnected in each component. Both technical factors and my perception of anecdotal evidence that has reported over the years suggest that balanced interconnections are usually less susceptible to ground loop effects than unbalanced interconnections;
3) In many cases input and output impedances will be different;
4) In many cases overall system gain will be increased by 6 db with a balanced connection;
5) Sensitivity to cable differences will be reduced or eliminated in the case of balanced interconnections if the interface circuits in the equipment conform to the AES48 balanced standard Ralph (Atmasphere) has often referred to;
6) And speaking more generally the basic operating principles of the two kinds of interfaces are different.
7) And of course the cable is different.
***None of that has anything to do with whether or not the internal signal paths of the two components are balanced.***
And a lot of that doesn’t have much if any relation to the lengths of the cables or to the noise environment either.
As is often the case in audio, the only way to know for sure in a specific system is to try it both ways.
Regards,
-- Al