Thanks for the hint! I remember playing with BoxTop's ProJPEG years ago, but missed out on ImageVice.
FYI: The settings for ImageVice are saved in IVPrefs.DAT which is created in the current working directory. Usually, that's the folder where the EXE of the host application resides.
In the reduction to binary there is a "Binary (Floyd Steinberg)", and in the Image - "Convert to colours..." "Dithering - Floyd Steindberg" (which also seems to be spelt incorrectly).
These don't help in reducing file sizes because random dithering makes for very incompressible graphics.
Perhaps the Map - Posterize... is the option to try.