I studied both designs and find out that both have some advantages and disadvantages.
PGA 2310 is the most elegant solution. It is not just resistor network switch but also has output buffer. This buffer should be capable to run even 600 ohm impedance, but the output voltage will sag down a lot driving this low impedance load. The AKSA has a high input resistance so PGA 2310 could theoretically! drive the power amp directly. A disadvantage is that signal passing this opamp will definite get some coloration / distorsion to the sound compared to classic pot. But on lucky side the added harmonic distorsion is VERY low.
Passive volume attenuation is for sure the cleanest option. No power supply noise, no added harmonic distorsion. Well it could be perfect, but here is the drawback: (hope you see attached pic)

Input resistance quite vary compared to classic pot which have static input resistance. Most CD players have output stage made of op amps and they will not complain driving higher than "normal" load. But the output resistance is low...
I am questioning myself how could typical CD player drive the AKSA/LF via relay volume control or even PGA 2310?