My opinion: NO!
Atemi waza in my opinion is about off balancing. Every technique has an implied atemi, but it does not necessarily have to hurt, or even make contact. It is about distracting, or taking balance. The goal of Nage in my opinion is to take balance.
However if contact or pain is what is needed, than that is what is needed. If the threat is off balancing than that is what is needed.
My back up source: