Yes but, ST did have an instrument so TP should not make a difference. And in TP, sure it did not play many songs, but none the less, it played music, hence it is a musical instrument.
TP had the horse call, OoX had the Harp of Ages, Recorder in LoZ, Grass in TP, and MM had the OoT turn into a guitar and a drum set. They made the Ocarina famous, Aonuma and Miyamoto, it is time to pull out the Duduk!