I have heard Zanshin described as "presence" rather than just "combative awareness". In most cases we are encouraged to finish our techniques with zanshin which speaks to "remaining spirit" I suppose. However zanshin is also what you try to have before a technique is executed and even outside of a combative situation.
For example - walking into a room at a party where you are aware of all that is occuring (especially the girl in the red dress) and your presence is felt by all there (especially the girl in the red dress).
I agree with Bronson.