Plummet implies a straight-line dead fall, or close to it. It derives from lead weights (hence the similarity to "plumber") attached to a line, used for sounding depth of water or for marking a straight vertical line. The "verbing" of that noun and its figurative use to describe falling appear to be quite recent developments—Webster's 1913 only lists a noun. I'd say it's the wrong word for this case, but then I'm an opponent of using slightly-similar words interchangeably, such that we effectively have fewer words to work with. However, I'm losing that fight anyway, so who cares I guess.
[EDIT] On reflection, this is even goofier than I thought at first, since the choice of lead for those applications is precisely because it's little affected by wind, and even fares better than most things against moving water, while this is entirely about something falling faster because of its interaction with air.