As far as the Yamaha RX-A880 is concerned, to my mind, the volume control is done in the analogue domain in an integrated circuit: a Rohm BD34703 that I have highlighted in a red rectangle on the block diagram below (out of the relevant service manual). So your concern is moot, anyway.
But he said "I recently figured out that my Yamaha Aventage RX-A880 could play DSD files or a DSD stream over HDMI, even multichannel! So I got excited and bought a multichannel SACD - my Blu-ray player happens to also play SACDs and output a DSD stream over HDMI."
So the signal will get routed to the DSPs then the DAC (PCM5102A)
Another thing, the PCM5102A may not be able to handle DSD direct, without some help from the DSP.