Here’s how I configure my privacy settings in Spotify.
In the search bar, type:
spotify:user:YOURUSERNAME
In this case, I type techish since that is my username.
Hit Enter and you will see your public profile:
When you click Edit, you will be presented with some settings you can customize and either turn on or turn off for public view.
I leave everything off except my Top Artists.
Spotify continues to be AWESOME!