I do have the SP-2 pro model with the AES/EBU balanced digital input. However, I don't use it with my BCD-1. The player sounds better in my system using the unbalanced analog outputs. I'm sure part of the reason for this is the player's over-sampling of the signal for processing. To my knowledge, the SP-2 does not have that capability.
The reason for my question is this. If a digital processor takes an unbalanced signal and converts it to a balanced signal with a phase splitter, the signal is subjected to an additional active stage and puts more circuitry in the signal path. If the preamp converts the balanced signal to an unbalanced signal for processing, another active stage is added to the signal path. After the unbalanced signal is amplified by the preamp, it must convert it back to balanced with another phase splitter. If the preamp's balanced output is then sent to a power amp's balanced input, it's converted again to unbalanced with yet another active stage. This results in unbalanced/balanced/unbalanced/balanced/unbalanced conversions that add additional electronics to the signal path. I think that is why some unbalanced components sound better than some balanced components.
I would be interested in knowing how the SP-3 will handle this.