I know very little about audio but my best guesses are:
1. The media cable was poor quality and/or playing music through the headphone jack is worse quality than radio station airwaves.
2. Spotify was sending back poor quality audio, possibly because I was not on wifi.
I'm sure the particulars matter but does anyone have a best guess as to why the quality would be so much worse? I don't really expect mainstream radio stations to serve up the highest quality audio, but maybe my assumptions are way off.