нет . они не от "слив",а от "лить" https://slovari.yandex.ru/~%D0%BA%D0%BD%D0%B8%D0%B3%D0%B8/%D0%9C%D0%BE%D1%80%D1%84%D0%B5%D0%BC%D0%BD%D0%BE-%D0%BE%D1%80%D1%84%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B9%20%D1%81%D0%BB%D0%BE%D0%B2%D0%B0%D1%80%D1%8C/%D0%A1%D0%BB%D0%B8%D0%B2%D0%BA%D0%B8/