The question to which you keep coming back:
My bad. So why would you want to use a dither that changes the sound of the recording?
The short answer...
Two factors in play with respect to changing the sound of the recording:
[1] DitherDither is a destructive process, so it *must* change the sound of the recording. ALL dither changes the sound of the recording. We don't have a choice. But there isn't a single, "right" way to dither. Different dither schemes perform the process with different algorithm's - and that's why they sound different. Just like different mics / pre / ADC have different sonic characteristics due to choices the designers made when they created them.
[2] Noise ShapingNoise shaping also changes the sound of the recording. Although ALL dither introduces noise as part of its destructive process, we can "tweak" the noise produced. Noise shaping is an attempt to shift the noise that dither creates into specific frequency ranges to which humans are less sensitive (typically higher frequencies, 15kHz - 22 kHz).
All your answers, ET, are...in the Archive! I just yesterday posted a really excellent write-up on dither from iZotope, the makers of the Ozone plugin package (that includes dithering / noise shaping). Check it out:
http://taperssection.com/index.php?topic=51692.0