As someone who lives alone, I am perfectly content with rinsing up/washing the few dishes I generate each meal. I'm not much of a cook; lots of meals in the summer, especially, are light, no cooking or warming up required (salads, etc.) I find that it is more time-saving to wash up the dishes shortly after I've eaten and then wipe them dry and put them away immediately; sometimes I do let them air-dry, too, though.
I found that it was more time-consuming to rinse the dishes, put them in the dishwasher, wait until I'd gotten a full load, then run the dishwasher and then unload everything and put it all away. That's for just one person, though -- a dishwasher is indeed convenient when there are several people and lots of plates, bowls and serving dishes, especially when having company.
Actually, much of my best china, silver and crystal glassware requires hand-washing, anyway, and drying with a linen towel, so even at that I have more to clean up even with the dishwasher taking care of the major part of the regular serving dishes, etc., used at the meal.
I don't entertain at home much; going out to a nice restaurant and treating a friend on his or her birthday or getting together with others for conversation, congeniality and good food away from home is well worth it -- and no dishes to clean up afterward!