I live alone and have a dishwasher. I put my dishes in and run it once a week or so. I never rinse them and I've never had an issue of residue remaining on the dishes, with the exception of eggs.
The dishes that don't go through the dishwasher - stuff that's too big or has wooden handles or something - gets washed and left to dry overnight in the draining rack. I HATE drying dishes. I hate washing them, too, hence the dishwasher, but not as strongly as drying them.