You have different names on different sites I see

It's a dye, not a paint, so I would imagine that the original color of the plastic is gonna show through at least SOME amount when dying with any color other than black(which is a shade, not a color

).
Try this -- since you're going to dye the outline of the logo in black, why not mask all but a part of that outline area and dye with blue/ red? You'll dye over it with black anyway, and that way you would know whether or not the colors will look right.