Keeping the silver helps retain the blacks and the overall contrast of the picture. If you remove the silver and only keep the dye, you'll get more vibrant colors, but you'll lose density, especially in the shadows. This may be objectionable in prints, but in your case, who knows, it could be just what you're looking for...
My guess is that the pictures above have not been bleached, so the images consist of dyes and metallic silver. By bleaching the silver and refixing you should get even more vibrant colors.
Vlad, I agree with you that retaining part of the silver maintains shadow density.
But there is one thing that I am not sure of: usually, in the normal two bath bleach/redevelop or combined single bath bleach/redevelop, there is ALWAYS bleaching going on.
The bleaching is a fundamental step in the toning of the image, as the bleached silver is replaced by another material (e.g. Prussian blue pigment blue toning), or the bleached silver reacted with another substance to form a complex (as in sepia toning, where the bleached silver reacts to form silver sulphide Ag2S, or as in selenium toning where the selenium complexes with the silver).
Now I am not familiar with these dye toners, but don't they use bleach too?
I know there are toners like polysulphides that directly react with silver without a bleach (selenium toner is one as well), but most toners seem bleach based.
Ah... now saw on Moersh's website, that the Multitoner does contain a bleach:
"100ml Bleicher" is mentioned, which is bleach. So this dye toner will bleach the silver, and the amount of dye toning should be determined by the amount of bleaching than...