did I do this correctly?
In order to get comparable results with the CMaj test, you need frequency on the y axis and time on the x axis. In the case of Audacity, amplitude is color-coded.
Graphs like the one you posted only show a single moment in time and are not well suited to capture quick transients like clicks. The phenomenon is almost impossible to capture with a screenshot. In a video, you would detect the clicks as the noise in the FFT graph "bobbing" or "jumping" up and down. But even then, you would be limited by the software's frame rate.
Watch what happens here at 0:25.
AFAIU the other test is a level sweep of a 32-tone multitone. Not 100% sure how to set it up.