This is wrong. I'm a professional sound engineer who's done location recording for film for over a decade and has another decade's worth of studio/editing experience.
A vacuum cleaner is loud but not that loud. You don't have to scream over it. 80db will cause hearing loss if you listen to that level sustained over a long time, but it's not remarkably loud. In fact, the chart you link shows everyday examples of noises in that range like phones ringing, chamber music (from acoustic stringed instruments using resonant cavities, a good proxy for human voices), city traffic, and more.
While a 75dB noise floor is definitely a problem for obtaining a clean recording (the kind you hear in a tv show), it's nothing unusual in forensic work. The sound from the servos moving the heads back and forth will consist of aperiodic loud but relatively slow and brief transients. It'll be like trying to listen in to a space while a spastic Autechre track plays on a speaker nearby - hard work but not impossible. A more prosaic example would be trying to follow the words of an unfamiliar song or rap at a live concert.
I'm pretty confident that I could get what you said into your phone while you sat in front of your laptop with a mechanical hard drive, without even hearing any of their source material. I would find this easier than trying to deal with a bad recording made in high wind or in the vicinity of a diesel engine.