I disagree. Even engine tone of a vehicle behind can tell you something about the driver's mentality and likely behaviour.
It can also tell you completely the wrong thing. eg. It turns out that an ambulance on blue lights sounds exactly the same as any other diesel-engined van when it stops behind you while you wonder why the pedestrian at the zebra crossing you stopped for isn't moving.
I agree that noisy exhaust or ludicrous subwoofer is a danger signal, but that gets through headphones, car windows, etc, just fine. But even if it didn't, there's generally little you'd change about your cycling behaviour knowing that the driver of vehicle behind is particularly likely to be impatient - as a rule of thumb I assume that all motorists will be. What is useful is knowing when it's something wider or slower than usual, or when it's indicating, which is where the Mk 1 eyeball (possibly via a mirror) comes in.
The absence of noise doesn't tell you anything of course, as anyone who's been startled by another cyclist in their blind spot
[1] will know.
TBH I find the main safety benefit to being able to hear as a cyclist is knowing which oiks are the shouty ones who should be given a wide berth. Otherwise it's mostly about detecting mechanical problems with your bike, and EV-spotting.
[1] In That London, they're usually about to undertake you in order to jump the red lights.