Here, let me do your research for you. First link on a search for "stapedius reflex" is https://en.wikipedia.org/wiki/Acoustic_reflex
A quick search on Google Scholar for "acoustic reflex noise" turns up this paper from 1962 which states in the abstract that the acoustic reflex is more easily triggered by wide bandwidth noise than a single sinusoidal tone. http://scitation.aip.org/content/asa/journal/jasa/34/9B/10.1...
I think we can safely say that this work is pretty evidence based.