This is perfect.
You go on a hunt for the geohash and enroute (or there) meet people, do things, give strangers rides or talk to them or whatever makes their day different in some way.
And that would not have happened had you not been out seeking some random point in the world, when otherwise you would have been home in the bath or whatever.
Not sure the name is right. Maybe "geokarma" or something? And extra points if you actually get their name/cell number/email whatever and they tell you (later) that you DID make a difference.