Re: Easier solution..
No, because they can record the traffic itself and mix it back in out of phase to filter it out
That only works if you record dual microphone and assumes you have enough microphone resolution to pick up the weak HDD sounds despite a membrane saturated with far louder signals. To do that right needs a very expensive set of mikes, and they tend to be a tad too big to install covertly.
You can also just push pink noise near the harddisks themselves, or play back hard disk sounds recorded earlier at the same time - it's unlikely you'll be able to separate them out.
That said, I think you're wasting your time being worried about that sort of stuff - that sort of research will be used to foist some stupidly expensive sound proofing on a company that has more money than sense, I can't see this being practical.