Well, the redox reaction between silver and dyes is best undertaken with azo dyes for reasons of stability to the acid pH needed and the post process dye stability. So, most other dyes will not do for this.
Also, most azo dyes contain sulfonic acid moieties that help them dissolve in water and help them stay in the gelatin matrix.
And, I've said that the future of color may be dye bleach due to its inherent simplicity, but don't be fooled. Making the multilayer is going to be a beast. I will be superposing 3 sheets to get a tripack when I do it, I will not be going for the multilayer on one support.
The multilayer invoves:
Overcoat/Blue sensitive Silver Halide/Yellow dye + Blue sensitive Silver Halide/absorber dye and scavenger/Green sensitive Silver Halide/Magenta dye + Green sensitive Silver Halide/scavenger/Red sensitive Silver Halide/Red sensitive Silver Halide + Cyan dye/support. That is about 9 layers.
With good dyes and emulsions, you can omit the interlayers and overcoat sacrificing color purity. You can eliminate the extra Silver Halide only layers sacrificing good contrast control.