Regardless of genre, if music is being performed by a human standing on a stage (or a floor, or the back of a flatbed truck) the music is "live". If the human is playing an unamplified acoustic guitar, violin, mandolin, piano, or upright bass, and is singing into no microphone, the music is live. If the guitar, violin, mandolin, piano, or upright bass has a microphone on it that is plugged into an amp, and the person is singing into a microphone, the music is still "live". Whether or not the resulting music is created by purely acoustical instruments and voices is immaterial, for gosh sake! Is the term "live" being used pejoratively?
Of course, that is true ONLY if you are at the live appearance. If you hear music only on recordings, there is NO live music, purely acoustic or otherwise!