Because that will also self-select the audience to be really small.
Then if they go over their allocated amount of calls, or they have been a user for X days/weeks/months, you give them a guided walkthrough on how to register their own API key.
I ended up writing a small library that does that locally cross-platform by using the metadata from the app.[3] The approach is probably not as robust as the API, but much faster and works well.
[1] https://github.com/SwagLyrics/SwagLyrics-For-Spotify