I see. So, assuming the room was reflection free, if a waveform was sent through the speaker and the mic open/closed within a short period of time, there's nothing stopping the mic from picking up all sorts of speaker harmonics right?
For example, lets say the test was done with a 1kHz signal instead of pink noise. If the speaker produced harmonics of 2k, 3k, and 4k, the resulting frequency response would have peaks at 1k, 2k, 3k, and 4k. Is this not correct?