I gave it a try with one of the Radiosity Pro light sets, and that cut back the highlight a bit. Then, for this set, I eliminated the Alternate Specularity input. Otherwise, everything is the same.

Remember that the default Aiko has very little specular reflection. It does rather look as though specular reflections can easily burn out.

The Radiosity Pro sets use a lot of dim lights with one or two main lights.

I suspect the best result will come from a slightly darker Spot colour combined with some softness. Softness = 0.5 seems to lose the spot effect altogether, but the result looks too dark.

There's artistic judgement here. If you're going for a model-shoot look, I think that there needs to be more softness than for the housewife-next-door.