I can run Spotify Premium in six different ways:

1. Chromecast Audio through my Pioneer A9
2. Chromecast Audio through my ADA-1000
3. Chromecast Audio through my Pioneer A9 pre-outs to the ADA-1000
4. Chromecast Video through my Onk
5. Through my PS3
6. Through my Firestick HD

Of all the ways above, the only one that sucks is #2. I suppose the Chromecast Audio can't supply the current the ADA-1000 requires.

Other than #2, I have not noticed volume differences between these different methods.

House of the Rising Sone
Out in the mid or far field
Dedicated mid-woofers are over-rated