@immatthewj The argument that the rectifier is not in the signal path is incorrect. The rectifier helps to supply the voltage that's used for the output rail. Noise or dips on that feed are going to affect the sound. Smoothing capacitors certainly help, but they will not eliminate all artifacts of the rectification stage.
With my solid-state Class-AB builds, I've gotten better sound by changing from a TO-220 Schottky FWB to a superior SMD Schottky FWB, so I know it's possible.
What I'm not sure of, however, is whether it will improve the handling of transients. I believe that has much to do with the unit's ability to communicate the rhythmic aspects of the music. Keeping my fingers crossed!