I think this study refers more to the ways music is used in societies throughout our species -- e.g., songs for grieving, praying, marriage, love, etc. -- mores

I think this study refers more to the ways music is used in societies throughout our species -- e.g., songs for grieving, praying, marriage, love, etc. -- moreso than the specifics of the structure of the music in and of itself. The statement "music is universal" does not mean "all music shares the same mapping between tones and emotions," but instead simply that the use of music has similar functions throughout the globe.