Ummm.. I think there is a slight misunderstanding here. It's not one or other of the maps that is reflective, it's the surface itself.

If you want any reflections at all off the surface, you have to use a Reflection node (although you don't have to plug it into the Reflection channel). Then you can control the colour and the amount of reflection at each point on the mapped surface using a colour map and/or a reflectivity map.

"If I were a shadow, I know I wouldn't like to be half of what I should be."
Mr Otsuka, the old black tomcat in Kafka on the Shore (Haruki Murakami)