Rick, Your remarks are valid and perceptive. If one wishes to hear all the possible "little (or not so little) noises" you can't throw any of them away, can you? I would rather not go deaf while trying not to miss some sound of interest masked by hearing damaging noise.
Lets make some reasonable assumptions and delineate some initial conditions to sort of get us on the same sheet of music. Lets assume for discussion sake that my characterization of tractor noise being similar to piston driven general aviation aircraft noise is "close enough." Lets also remember that most muffs (non electronic and no diaphrams ala "Lee Sonics" shooters ear plugs) are rated with a sort of average NRR figure. Most muffs are designed to (or just end up) working better on higher frequency noise and don't do so well below a few hundred Hz. Aircraft AND tractor noise has dangerous levels of low frequency noise that is not well supressed by most muffs. Things sound quieter with muffs on of course but that doesn't mean that there isn't still ear damaging low freq content still getting through.
If we were to wear good ANR muffs our hearing would be much better protected than wearing regular muffs or muffs with either of two other electronic technologies, clipping or compression. It is important to note that neither the clipping type nor the compression type use their electronic circuitry to reduce the sound/noise getting into the muff. They do not stop noise any better operating normally than they do with the batteries removed. The clipping and compression types use their electronics to selectively admit some more sound that would otherwise be elliminated (the reason you wear them in the first place). ANR is only going to improve muff performance appreciably in the low freq domain where much of the danger lies for our hearing that is not adequately handled by regular muffs. Some are user variable in their ANR circuitry so if it gets too quiet for you, you can reduce the cancellation.
The chief motivation for wearing muffs is to stop sound from harming your hearing andto reduce operator fatigue. If you use a 2 way radio from your tractor or want to listen to music (or get weather reports or stock market info) those activities will be markedly enhanced.
If there were specific frequency bands containing "information" of interest to you then a user variable amount of that could be injected into the ANR headset. Most (would you believe many?) ANR headsets are intended to be used to listen to a radio or music source AND frequently have a noise cancelling boom mike affixed as standard equipment to allow you to transmit with a better signal to noise ratio.
Again, my motivation is to preserve my hearing and reduce operator fatigue and a distant third is to allow 2way radio use, weather radio use, or music listening. I could always stop the tractor to talk on the radio or get the weather if I need to do that but an ANR headset would remove the need to shut down. Some models of ANR headsets are cell phone compatible so yo cold take/make a call while tractoring (or in my case roaring down the south Canadian river bed in a VW dune buggy). I don't think hearing all the sounds of the tractor experience to avoid missing some nuance which might indicate some mechanical malfeasance is worth loss or significant (over time) reduction of my hearing. In pure economic terms there is all that AMSLAN tutoring, lip reading training, hearing aid expenses...
I would be leary of any ANR equipment designed for HI-FI uses as they may not attenuate the high freq noise nearly as well as reqular muffs. Since most folks don't run tractors, aircraft, or jackhammers in their living rooms it may not have been a big issue.
I justify the somewhat large expense as MY EARS ARE WORTH IT and I can use the muffs tractoring, as well as around other noisy things like my new
chipper whach shipped today. If I should trip and fall over a sack of money and start flying private aircraft more regularly, ANR muffs will be great.
Hope this gave some useful information and that any slight attempt at humor will be be appreciated, ignored, or at least go unpunished.
Patrick