Depends what you mean by damage...you'll get lots of "micro-scratches" which, over time, will show up...particularly in sunlight.
Mind you, handwashing also causes the same damage, unless it's done properly. Using a jet-washer with snow-foam, handwashing with a microfibre washmitt, rinsing and drying with a microfibre drying towel will minimise the surface marks. (Professional valeters never use sponges, brushes or chamois leathers to keep the original paintwork looking like new...always microfibre products).
And, yes, I'm a bit OCD about car paintwork!