In the wonderful word of legal issues, Yahoo! Music API license terms fortunately cover this eventuality.
YOU SHALL NOT:
(iii) use the Yahoo! Music APIs to operate nuclear facilities, life support, or other mission critical application where human life or property may be at stake. You understand that the Yahoo! Music APIs are not designed for such purposes and that their failure in such cases could lead to death, personal injury, or severe property or environmental damage for which Yahoo! is not responsible;