Original music is created by the game creators and streaming rights are included in the software EULA.

Licensed music is created by third party artists and is usually not included in the software EULA because the music artist/publisher does not grant that type of license to the game creator/publisher. A gamer streaming gameplay that includes the copyrighted song will trigger automatic copyright protection on the streaming service they use and is subject to DMCA takedowns.

Modern games often include a "streamer mode" which replaces or mutes the licensed music.