If you listen to your musical content at common playback levels, For example; a playback level calibrated to -23dBFS pink noise = 72dBSPL C weighted at the listening position then the least significant bit in the digital stream will be fluttering well below the SPL threshold of hearing.
That is very simple math.
That is not math at all. That is proposed loudness (only) condition for test.
Math is in fact very simple:
* 16 bit without dithering at all effectively leave 15 "true" bits. That means ~-90dB SNR
* 16 bit with simple dithering keep all 16 bits meaningful. So ~96dB SNR.
Without doing anything fancy, Dynamic range is equivalent to these numbers. Fancy dithering algorithms claim perceived dynamic range increase up to 120dB.
Is that level of noise always meaningful and can be spotted? Definitively not. There can be at least several examples what can make it not noticeable by definition (any from the list):
* calibrated listening environment in which that level is under ATH
* when the environment has background noise comparable with SPL from this noise
* when the signal already has more noise then that, so the content is "noisy" by design. Including f.e. drums and "vintage warm" processors or emulations (tubes, tapes)
* when the signal is overall maxed and dynamic range is overall small
But you claim it NEVER make any sense. And that part is questionable:
* modern equipment can technically reproduce such level, unlike f.e. 64bit AD/DA
* there are many SoftSynth which produce "crystal clean" signal. They sound "cold" and "airy", with tiny "noise" component".
* hobbyists rarely achieve perfect mastering and so to not squash things completely leave quite big dynamic range in the final file. Also some classic CDs do not "ride" the volume by intention, there can be quite tracks. All that move "listeners" to turn clockwise the volume knob on Hi-Fi/End amplifier, effectively moving the noise level away from "callibrated" listening conditions.
The math is just as simple if you listen to your music more loudly.
So, using your words... Assuming you have done "everything right" in recording and mastering your cymbals, I completely agree that dithering is not important.
But for us, n00bs, assuming that is just a check-box in the export dialog, it is good to set it. But avoid it during intermediate processing since that make no sense and can hit hard our low-end computers.