In the Standard material, try setting the Ambient/Diffuse color swatches both to black. They're linked by default, so you should only need to edit one swatch. Also if you're baking a cubemap, using a Reflect?Refract will get you better results. Not sure if this is what you're after though.
I'm actually using reflect/refract, as far as the deformation goes, it's exactly what I needed. I tried playing with your hints and found the solution : The trick is to set the "self-illumination" "slider on the right to 100. No need to use a self-illumination map or to change the diffuse/ambient, maybe you were referring…